Skills Practice Workbook

Transcription

1 Workbook ontents Include: 96 worksheets one for each lesson

2 To The Student: This Workbook gives ou additional problems for the concept eercises in each lesson. The eercises are designed to aid our stud of geometr b reinforcing important mathematical skills needed to succeed in the everda world. The material is organized b chapter and lesson, with one skills practice worksheet for ever lesson in Geometr: oncepts and pplications. To the Teacher: nswers to each worksheet are found in Geometr: oncepts and pplications hapter esource asters and also in the Teacher Wraparound dition of Geometr: oncepts and pplications. opright b The cgraw-hill ompanies, Inc. ll rights reserved. Printed in the United States of merica. cept as permitted under the United States opright ct, no part of this book ma be reproduced in an form, electronic or mechanical, including photocop, recording, or an information storage or retrieval sstem, without permission in writing from the publisher. Send all inquiries to: The cgraw-hill ompanies 8787 rion Place olumbus, H ISN: Geometr: oncepts and pplications Workbook

3 NTNTS Lesson Title Page Lesson Title Page 1-1 Patterns and Inductive 6-7 istance on the oordinate easoning Plane Points, Lines, and Planes Segments, ngles, and 1-3 Postulates Inequalities onditional Statements and 7-2 terior ngle Theorem Their onverses Inequalities Within a Triangle Tools of the Trade Triangle Inequalit Theorem Plan for Problem Solving Quadrilaterals eal Numbers and Number 8-2 Parallelograms Lines Tests for Parallelograms Segments and Properties of eal Numbers ectangles, hombi, and Squares ongruent Segments Trapezoids The oordinate Plane Using atios and Proportions idpoints Similar Polgons ngles Similar Triangles ngle easure Proportional Parts and 3-3 The ngle ddition Triangles Postulate Triangles and Parallel Lines djacent ngles and Linear Pairs of ngles Proportional Parts and Parallel Lines omplementar and 9-7 Perimeters and Similarit Supplementar ngles Naming Polgons ongruent ngles iagonals and ngle easure Perpendicular Lines reas of Polgons Parallel Lines and Planes reas of Triangles and 4-2 Parallel Lines and Trapezoids Transversals reas of egular Polgons Transversals and orresponding 10-6 Smmetr ngles Tessellations Proving Lines Parallel Parts of a ircle Slope rcs and entral ngles quations of Lines rcs and hords lassifing Triangles Inscribed Polgons ngles of a Triangle ircumference of a ircle Geometr in otion rea of a ircle ongruent Triangles Solid Figures SSS and SS Surface reas of Prisms and 5-6 S and S linders edians Volumes of Prisms and 6-2 ltitudes and Perpendicular linders isectors Surface reas of Pramids 6-3 ngle isectors of Triangles and ones Isosceles Triangles Volumes of Pramids and 6-5 ight Triangles ones The Pthagorean Theorem Spheres Glencoe/cGraw-Hill iii Geometr: oncepts and pplications

4 Lesson Title Page Lesson Title Page 12-7 Similarit of Solid Figures Paragraph Proofs Simplifing Square oots Preparing for Two-olumn Triangles Proofs Triangles Two-olumn Proofs The Tangent atio oordinate Proofs Sine and osine atios Solving Sstems of quations 14-1 Inscribed ngles b Graphing Tangents to a ircle Solving Sstems of quations 14-3 Secant ngles b Using lgebra Secant-Tangent ngles Translations Segment easures eflections quations of ircles otations Logic and Truth Tables ilations eductive easoning Glencoe/cGraw-Hill iv Geometr: oncepts and pplications

5 1 1 N T PI Patterns and Inductive easoning Tell how to find the net term in each pattern. 1. 7, 12, 17, 22, , 3, 9, 27, , 46, 42, 38, , 20, 40, 80, , 1, 2, 5, 8, , 134, 124, 114,... Find the net three terms of each sequence. 7. 2, 7, 12, 17, , 93, 86, 79, , 22, 33, 44, , 4, 14, 56, , 4, 8, 16, 32, , 6, 12, 18, , 86, 73, 60, , 26, 24, 25, , 31, 33, 36, , 10, 20, 40, , 210, 190, 160, , 7, 14, 42,... raw the net figure in each pattern Glencoe/cGraw-Hill 1 Geometr: oncepts and pplications

6 1 2 N T PI Points, Lines, and Planes Use the figure at the right to name eamples of each term. 1. four points 2. two lines 3. four segments 4. one ra whose endpoint is 5. three collinear points S Y T 6. one point that is not on Y 7. a segment with points T and as its endpoints 8. a line that does not contain 9. a line containing 10. a segment that lies on Y etermine whether each model suggests a point, a line, a ra, a segment, or a plane. 11. a toothpick 12. a floor 13. the tip of a pin 14. the surface of the water in a swimming pool 15. a beam of light from a laser 16. fence pole raw and label a figure for each situation described. 17. point K lies on T 18. plane H contains line a 19. lies in plane containing point not on 20. and Y such that point is the onl point common to both ras Glencoe/cGraw-Hill 2 Geometr: oncepts and pplications

7 1 3 N T PI Postulates efer to the figure at the right. 1. Name all of the different lines that can be drawn through the set of points. 2. Name the intersection of and. Name all of the planes that are represented in each figure. W P S Y G V T efer to the figure at the right. 5. Name the intersection of plane JL and plane JKL. J 6. Name the intersection of plane JK and plane J. 7. Name two planes that intersect in L. 8. Name two planes that intersect in J. L K etermine whether each statement is true or false. If a statement is false, eplain wh. 9. If ou have two points, then there is onl one line that contains both points. 10. The intersection of two distinct lines is two points. 11. If ou have three noncollinear points, then ou have two different planes. 12. line is the intersection of two distinct planes. 13. ne point can be the onl intersection of two planes. 14. Three planes can intersect in one line. Glencoe/cGraw-Hill 3 Geometr: oncepts and pplications

8 1 4 N T PI onditional Statements and Their onverses Identif the hpothesis and the conclusion of each statement. 1. If ou purchase a computer and do not like it, then ou can return it within 30 das. 2. If 8 15, then 7 3. If the drama club raises $2000, then the will go on tour. 4. If the temperature toda is 80 or more, then ou will go swimming. 5. If two lines intersect, then the intersection is a point. Write two other forms of each statement. 6. If two planes intersect, then the intersection is a line. 7. If it snows, then ou will go sledding. 8. Your dog will be happ if ou feed him ogg how. 9. Hiking will be easier if ou have hiking boots. 10. ll squares have four sides of equal length and four right angles.. Write the converse of each statement. 11. If a figure is a triangle, then it has three sides. 12. If ou find a penn, then ou will have good luck. 13. If ou ride our biccle recklessl, then ou can get hurt. 14. If two distinct lines intersect, then their intersection is one point. 15. If our cat purrs, then it is contented. Glencoe/cGraw-Hill 4 Geometr: oncepts and pplications

9 1 5 N T PI Tools of the Trade Use a straightedge or compass to answer each question. 1. Which segment is longest? 2. Which of the three segments at the upper right forms a straight line with the segment at the lower left? F G a bc e 3. oes the inner arc or the outer arc on 4. Is the midpoint of? the right side of the segments go with the arc on the left side to form part of a circle? 5. If the circle with center is drawn 6. If etended, will V intersect Z Y at Y? completel, will point lie on the circle? V Y Z Glencoe/cGraw-Hill 5 Geometr: oncepts and pplications

10 1 6 N T PI Plan for Problem Solving Find the perimeter and area of each rectangle. 30 ft ft 3 cm 9 cm 1 mi 1 mi in mm in. 27 mm 4 m 4 m Find the perimeter and area of each rectangle described ft, w 2 ft 8. 2 in., w 1 in cm, w 23 ft mi, w 1 mi m, w 7 m d, w 25 d Find the area of each parallelogram ft 14 ft 22 ft 3 in. 9 in. 5 in. 8 mi 7 mi 5 mi cm 36 cm 15 mm 54 cm 5 m 16 mm 17 mm 1 m 2 m Glencoe/cGraw-Hill 6 Geometr: oncepts and pplications

11 2 1 N T PI eal Numbers and Number Lines Write a real number with five digits to the right of the decimal point. 1. an irrational number between 2 and 3 2. a rational number between 2 and 3 with a 2-digit repeating pattern 3. two rational numbers between 3 and 4 4. an irrational number greater than a rational number greater than 15 but less than an irrational number less than an irrational number less than 5 8. a rational number greater than 8 with a 2-digit repeating pattern Use a number line to find each measure. L Z Q S T Y L 10. T 11. ZT 12. LZ 13. Q 14. S T 17. ST 18. LQ 19. Y 20. onsider 0.27, 0.27, and How are these numbers alike? 22. How are the different? 23. Which number is greatest? 24. How would ou read each number? Glencoe/cGraw-Hill 7 Geometr: oncepts and pplications

12 2 2 N T PI Segments and Properties of eal Numbers Three segment measures are given. The three points named are collinear. etermine which point is between the other two. 1. Y 15, Y 31, , 20, , 34, , G 12, G H 2, J 1, HJ 3 6. W 8, W 4, 4 Use the line to find each measure. G I K 7. If 10 and G 21, find G. 8. If I 72 and GI 11, find G. 9. If G 24 and G 14, find. 10. If K 80 and IK 24, find I. 11. If 18 and K 72, find K. 12. If I 65 and GI 13, find G. Find the length of each segment in centimeters and in inches Glencoe/cGraw-Hill 8 Geometr: oncepts and pplications

13 2 3 N T PI ongruent Segments Use the number line to determine whether each statement is true or false. plain our reasoning. K L N P S T L is congruent to N. 2. S is congruent to L. 3. is the midpoint of L N. 4. P S is congruent to N. 5. is the midpoint of L S. 6. K S is congruent to L T. 7. P S is congruent to K L. 8. The origin is the midpoint of K T. etermine whether each statement is true or false. plain our reasoning. 9. If G H Z, then GH Z. 10. ver segment has onl one midpoint. 11. ra cannot bisect a segment. 12. If W and W S P, then S P. 13. If a segment has been bisected, then it is separated into two congruent segments. 14. If is the midpoint of, then. 15. plane cannot bisect a segment. 16. If points,, and are collinear, then lies between and. 17. segment can have several midpoints. 18. If Y is between and Z, then Y = YZ. Glencoe/cGraw-Hill 9 Geometr: oncepts and pplications

14 2 4 N T PI The oordinate Plane Graph and label each point on the coordinate plane. 1. Z(0, 5) 2. T(5, 5) 3. (5, 2) 4. Q( 3, 3) 5. ( 4, 4) 6. (0, 4) 7. (2, 5) 8. H( 4, 0) 9. F( 3, 1) 10. (1, 1) 11. (3, 4) 12. (2, 0) Name the ordered pair for each point T 15. Z Q Z Q Y 19. Y 20. T Graph Graph 1. Glencoe/cGraw-Hill 10 Geometr: oncepts and pplications

15 2 5 N T PI idpoints Use the number line to find the coordinate of the midpoint of each segment. H F G F 3. H F 4. H G 8. G 9. H The coordinates of the endpoints of a segment are given. Find the coordinates of the midpoint of each segment. 10. (0, 10), (0, 0) 11. (8, 0), (0, 0) 12. (0, 6), (0, 0) 13. ( 20, 0), (0, 0) 14. (4, 12), (8, 20) 15. ( 2, 3), (2, 5) 16. (1, 6), ( 5, 10) 17. ( 5, 14), ( 1, 8) 18. ( 1, 15), (9, 15) 19. (7, 2), ( 7, 2) 20. (7, 5), (3, 15) 21. ( 9, 7), (3, 5) 22. (1, 3), (4, 8) 23. ( 6, 7), (9, 10) Glencoe/cGraw-Hill 11 Geometr: oncepts and pplications

16 3 1 N T PI ngles Name each angle in four was. Then identif its verte and its sides F 4 H Name all angles having as their verte Y 1 P 2 Z Z Tell whether each point is in the interior, eterior or on the angle. 7. L Z etermine whether each statement is true or false. 13. The figure formed b opposite ras is sometimes referred to as a straight angle. 14. The verte is in the eterior of an angle. 15. n angle separates the plane into two parts: the interior and the eterior of the angle. Glencoe/cGraw-Hill 12 Geometr: oncepts and pplications

17 3 2 N T PI ngle easure Use a protractor to find the measure of each angle. Then classif each angle as acute, obtuse, or right. 1. T T Q Q T T 9. Q 10. Q 11. Q 12. T Use a protractor to draw an angle having each measurement. Then classif each angle as acute, obtuse, or right Glencoe/cGraw-Hill 13 Geometr: oncepts and pplications

18 3 3 N T PI The ngle ddition Postulate efer to the figure at the right. 1. If m 100 and m F 65, find m Find m 4 if m 80 and m 44. F Find m 3 if m F 85 and m F If m 105 and m 46, find m. 5. If m F 46 and m F 54, find m. 6. Find m F if m 2 45 and m If m F 102 and bisects F, find F. efer to the figure at the right. 8. If m WZ 95 and m Z 40, find m W. W Y 9. If WZ is a right angle and m YZ 35, find m WY. Z 10. If m Z 82 and Y bisects Z, find m YZ. 11. If m WY 66 and bisects WY, find m Y. 12. Find m Y if m W 130 and m WY If m W 142, and Y bisects W, find m WY. 14. Find m if m Y 35, m YZ 40, and m Z 42. Glencoe/cGraw-Hill 14 Geometr: oncepts and pplications

19 3 4 N T PI djacent ngles and Linear Pairs of ngles Use the terms adjacent angles, linear pair, or neither to describe angles 1 and 2 in as man was as possible In the figure at the right, and G are opposite ras. lso, and J are opposite ras. 10. Which angle forms a linear pair with? 11. o and J form a linear pair? Justif our answer. K J G 12. Name two angles that are adjacent to G. 13. Name two angles that form a linear pair with JG. 14. Name three angles that are adjacent to K. Glencoe/cGraw-Hill 15 Geometr: oncepts and pplications

20 3 5 N T PI omplementar and Supplementar ngles efer to the figures at the right. 1. Name a pair of complementar angles. 2. Name two right angles. 3. Name three pairs of adjacent supplementar angles. J F 4. Find the measure of an angle that is complementar to JH. 5. Find the measure of an angle that is supplementar to F. H ercises Find the measure of H. 7. Name a pair of complementar angles. 8. Name two right angles. 9. Find the measure of an angle that is complementar to YZ. 10. Find the measure of an angle that is supplementar to WT. Z Y T S W 11. Find the measure of Y. ercises Is YT a right angle? Justif our answer. 13. Find the measure of an angle that is supplementar to. 14. Find m 3 if 3 and 4 form a linear pair and m If 1 and 2 form a linear pair and m 1 130, find m ngles F and YZ form a linear pair. If m F 170, what is m YZ? 17. If 4 and 8 are complementar and m 4 45, find m If m 3 10 and 3 and 7 are complementar, what is m 7? Glencoe/cGraw-Hill 16 Geometr: oncepts and pplications

21 3 6 N T PI ongruent ngles Find the value of in each figure ( 8) (3) (4 10) (6 15) What is the measure of an angle complementar to YZ if YZ? 48 Z Y 8. and are opposite ras and and are also opposite ras. If m 2 90 and m 1 and 45, what is m 4? Use the figure at the right. 9. If 1 3 and m 1 64, find the measure of an angle that is supplementar to If is supplementar to, is supplementar to, and m 58, find m and m Find the measure of an angle that is complementar to 1 if 1 2 and m Find the measure of an angle that is supplementar to 4 if 4 9 and m Glencoe/cGraw-Hill 17 Geometr: oncepts and pplications

22 3 7 N T PI Perpendicular Lines,F, and point is the midpoint of. etermine whether each of the following is true or false Y is a right angle. 3. F and F are supplementar. W Z F Y F is a right angle. 6. F and are complementar. 7. m WZ m W 8. F is the onl line to W at 9. F and Y are supplementar F W 12. F F Y, and are opposite ras. 15. If m 25, find m. 16. If m 72, find m. 17. If m 2 2 and m 8 2, find m and m. Glencoe/cGraw-Hill 18 Geometr: oncepts and pplications

23 4 1 N T PI Parallel Lines and Planes escribe each pair of segments in the prism as parallel, skew, or intersecting. 1. G, L 2. L K, G L 3. L K, G H 4. G, G H G 5. J N, L 6. L K, N K N K 7. N K, J H 8. G, H K J H 9. N, L K 10. N, G L Use the figure for ercises Name the parts of the rectangular prism. 11. si planes 12. all pairs of parallel planes 13. all segments skew to J H 14. all segments parallel to G 15. all segments intersecting L 16. all segments parallel to J N Name the parts of the triangular prism. 17. all pairs of intersecting planes 18. all pairs of parallel segments Y Z 19. all pairs of skew segments F 20. all points at which three segments intersect Glencoe/cGraw-Hill 19 Geometr: oncepts and pplications

24 4 2 N T PI Parallel Lines and Transversals Identif each pair of angles as alternate interior, alternate eterior, consecutive interior, or vertical and and and and and and and and and and and and 11 Find the measure of each angle. Give a reason for each answer Find the measure of each angle. Give a reason for each answer Glencoe/cGraw-Hill 20 Geometr: oncepts and pplications

25 4 3 N T PI Transversals and orresponding ngles In the figure, m p. Name all angles congruent to the given angle. Give a reason for each answer m p Find the measure of each numbered angle Glencoe/cGraw-Hill 21 Geometr: oncepts and pplications

26 4 4 N T PI Proving Lines Parallel Find so that c d c d (2 8) (5) 115 c d c d (7 2) (4 3) 82 c d (5 11) 24 c d d c 7. c 8. c 9. d 85 (3 8) (9 4) (6 1) c d (6 6) d Name the pairs of parallel lines or segments W Z Y 13. b a c d 85 F d a b c Glencoe/cGraw-Hill 22 Geometr: oncepts and pplications

27 4 5 N T PI Slope Find the slope of each line ( 1, 1) (3, 2) ( 1, 3) (2, 4) (1, 1) (2, 2) ( 2, 4) (0, 2) (3, 4) ( 2, 3) (2, 3) (2, 2) ( 1, 2) (1, 3) ( 1, 1) (1, 2) (3, 0) (1, 2) Given each set of points, determine if and are parallel, perpendicular, or neither. 10. (1, 1), ( 2, 3), (4, 1), (6, 2) 11. (0, 5), (5, 0), (3, 2), (4, 1) 12. ( 2, 3), (4, 5), (0, 3), (1, 0) 13. (0, 0), (4, 5), (0, 3), (5, 4) 14. ( 1, 1), (3, 2), (5, 0), (3, 7) 15. (2, 5), (5, 2), ( 3, 1), ( 4, 0) 16. (2, 1), (5, 3), ( 2, 2), (3, 3) 17. (3, 0), (6, 3), (4, 3), (5, 4) Glencoe/cGraw-Hill 23 Geometr: oncepts and pplications

28 4 6 N T PI quations of Lines Name the slope and -intercept of the graph of each equation Graph each equation using the slope and -intercept Glencoe/cGraw-Hill 24 Geometr: oncepts and pplications

29 5 1 N T PI lassifing Triangles lassif each triangle b its angles and b its sides in in in. 3 cm 55 5 cm 35 4 cm 16 ft ft ft m m 11 m cm cm cm ake a sketch of each triangle. If it is not possible to sketch the figure, write not possible. 10. right scalene 11. obtuse isosceles 12. right isosceles 13. right equilateral Glencoe/cGraw-Hill 25 Geometr: oncepts and pplications

30 5 2 N T PI ngles of a Triangle Find the value of each variable Find the measure of each angle in each triangle (3 10) 64 (2) Glencoe/cGraw-Hill 26 Geometr: oncepts and pplications

31 5 3 N T PI Geometr in otion Identif each motion as a translation, reflection, or rotation In the figure at the right, quadrilateral quadrilateral WYZ. 10. Which angle corresponds to? 11. Which side corresponds to Y? W 12. Name the image of point. Y 13. Name the image of. 14. Which verte of corresponds to Y? Z 15. Name the side that corresponds to. Glencoe/cGraw-Hill 27 Geometr: oncepts and pplications

32 5 4 N T PI ongruent Triangles Name the congruent angles and sides for each pair of congruent triangles. Then draw arcs and slash marks to show the congruent angles and sides Z Y N YZ N 3. N 4. T Z Z Q ZNQ I TI Z omplete each congruence statement Z W? ZW? I? I? Y L? L? Glencoe/cGraw-Hill 28 Geometr: oncepts and pplications

33 5 5 N T PI SSS and SS Write a congruence statement for each pair of triangles represented. 1. N, L P, 2. W, Z, W Z 3. G P S, H P T, P 4. H Y P, Y P, Y P 5. Z Q, P S, Z P Q S 6. L Z N, L N, L N etermine whether each pair of triangles is congruent. If so, write a congruence statement and eplain wh the triangles are congruent W G H I G J Q U 11. P 12. U W L Z Y Use the given information to determine whether the two triangles are congruent b SS. Write es or no. 13. L, L, L 14. L, L,, 15. L, L,, 16. L, L, Glencoe/cGraw-Hill 29 Geometr: oncepts and pplications L

34 5 6 N T PI S and S Write a congruence statement for each pair of triangles represented. 1. In and Z,, Z, and Z. 2. In F and G,,, and. 3. In TI and GN, T, T I G, and T N. 4. In ZIP and LS, P, I L, and P I L. Name the additional congruent parts needed so that the triangles are congruent b the postulate or theorem indicated. 5. S 6. S F S T 7. S 8. S Y Z N etermine whether each pair of triangles is congruent b SSS, SS, S, or S. If it is not possible to prove that the are congruent, write not possible. 9. F 10. S T I G V H V N K Glencoe/cGraw-Hill 30 Geometr: oncepts and pplications

35 6 1 N T PI edians,, and F are medians of. 1. If 24, find F. 2. Find, if F What is if 36? F 4. Find, if What is if 68? 6. If F 3, find. T, Z, and S W are medians of TS. 7. If T 18, find TW. 8. If T 26, find. Z T W 9. If W 5, find S. 10. Find Z if What is TZ if TS is 2? 12. What is S if W is 9? S N, P, and L are medians of LNP. 13. What is LP if L is 4? L 14. Find if L 18 P 15. What is if N is 42? 16. If 13, find P. N 17. Find N if N If L 15, find. Glencoe/cGraw-Hill 31 Geometr: oncepts and pplications

36 6 2 N T PI ltitudes and Perpendicular isectors Tell whether the bold segment or line is an altitude, a perpendicular bisector, both, or neither Use the figure at the right. 13. Name a segment in the triangle that is an altitude. or 14. Name a segment in the triangle that is a perpendicular bisector. 14. Name a segment in the triangle that is not an altitude and is not a perpendicular bisector. F G Glencoe/cGraw-Hill 32 Geometr: oncepts and pplications

37 6 3 N T PI ngle isectors of Triangles In, bisects, and bisects. 1. If m 1 40, what is m 2? 2. Find m if m What is m 3 if m 36? 4. If m 1 45, what is m? What is m if m 20? 6. Find m if m What is m if m 4 18? 8. Find m 2 if m If m 3 21, what is m 4? 10. What is m if m 24? In, P bisects, N bisects, and S bisects. 11. Find m 6 if m What is m if m 1 23? 13. If m 3 55, what is m 4? 14. What is m S if m 32? 15. Find m 1 if m If m 4 60, what is m? 17. What is m S if m 6 15? 18. If m P 112, what is m 3? 19. Find m P if m P What is m 4 if is a right angle? N 2 1 S P Glencoe/cGraw-Hill 33 Geometr: oncepts and pplications

38 6 4 N T PI Isosceles Triangles Find the values of the variables for each triangle a 10 b F 40 d Y 54 c Z W 4 45 P 60 a b W 8. S 9. b a 60 Z b 52 Y T a a d 42 a c b Use the figure at the right. 13. In F, if 6 and F 3 10, what is? 14. In H, if m H 2 4, find the value of. 15. If H 5 1 and FH 3 21, what is H? 46 H F 16. In F, what is m F? Glencoe/cGraw-Hill 34 Geometr: oncepts and pplications

39 6 5 N T PI ight Triangles etermine whether each pair of right triangles is congruent b LL, H, L, or HL. If it is not possible to prove that the are conguent, write not possible F W Y V Z G T S Q T S T S Q P F I G Glencoe/cGraw-Hill 35 Geometr: oncepts and pplications

40 6 6 N T PI The Pthagorean Theorem Find the missing measure in each right triangle. ound to the nearest tenth, if necessar c in in. 4 cm c cm 25 in. 3 cm 20 ft 33 ft b ft 4. 8 in b in. 9 in. a m 28 m 4.5 m a m 3 m 10 m m 9. c in. 3 in. a m 29 m 5 in. 24 ft b ft 6 ft Find each missing measure if c is the measure of the hpotenuse. ound to the nearest tenth, if necessar. 10. a 15, b 10, c? 11. b 6, c 10, a? 12. c 100, b 60, a? 14. a 2, b 3, c? 16. b 7, c 15, a? 13. c 16, a 9, b? 15. c 5, b 2, a? 17. c 30, a 20, b? The lengths of three sides of a triangle are given. etermine whether each triangle is a right triangle cm, 4 cm, 5 cm ft, 1 ft, 2 ft in., 2 in., 4 in in., 10 in., 15 in m, 15 m, 17 m cm, 48 cm, 50 cm Glencoe/cGraw-Hill 36 Geometr: oncepts and pplications

41 6 7 N T PI istance on the oordinate Plane Find the distance between each pair of points. ound to the nearest tenth, if necessar. 1. (4, 0), Y(2, 0) 2. ( 3, 0), ( 8, 0) 3. F(5, 0), G( 1, 0) 4. F(0, 8), G(0, 1) 5. (0, 1), N(0, 6) 6. (0, 6), S(0, 2) 7. (2, 1), (5, 3) 8. (1, 5), (1, 5) 9. H( 3, 4), I(5, 4) 10. G(0, 0), H(6, 8) 11. K(0, 0), ( 3, 4) 12. (0, 7), (24, 0) 13. (1, 1), ( 1, 1) 14. (0, 4), Z( 2, 5) 15. ( 1, 2), Z(2, 1) 16. Y(5, 6), ( 5, 6) 17. (2, 3), (2, 7) 18. (6, 9), U(9, 6) 19. L(5, 3), ( 1, 0) 20. S( 2, 6), T(7, 6) 21. H(1, 1), ( 5, 4) 22. G(8, 9), ( 1, 0) 23. ( 7, 4), T( 10, 1) 24. W(4, 2), N(1, 2) Glencoe/cGraw-Hill 37 Geometr: oncepts and pplications

42 7 1 N T PI Segments, ngles, and Inequalities For ercises 1 12, use the figure below. F G H eplace each with,, or to make a true sentence. 1. FH 2. H 3. H F G 6. G F etermine whether each statement is true or false. 7. F G 8. F 9. G H 10. FG 11. H 12. G H For ercises 13 24, use the figure at the right. Lines J,, and G intersect at P G P J eplace each with,, or to make a true sentence. 13. m P m PJ 14. m PG m P 15. m PG m GPJ 16. m P m GPJ 17. m PJ m P 18. m P m PG etermine if each statement is true or false. 19. m PJ m PG 20. m PJ m GPJ 21. m PJ m PG 22. m PG m GPJ 23. m PJ m P 24. m P 2 m P Glencoe/cGraw-Hill 38 Geometr: oncepts and pplications

43 7 2 N T PI terior ngle Theorem Name the angles. 1. an eterior angle of 2. an eterior angle of 3. an interior angle of 4. an interior angle of a remote interior angle of 6. a remote interior angle of with respect to 7 with respect to Find the measure of each angle T Z Y 50 U G T W Use the figure at the right. 13. Find the value of. 14. Find m. 15. Find m. 16. Find m Z. eplace each with,, or to make a true sentence (2 5) 55 Z F J H Y G 4 m 3 m 1 m 5 m 3 m 2 m 4 m 6 Glencoe/cGraw-Hill 39 Geometr: oncepts and pplications I

44 7 3 N T PI Inequalities Within a Triangle List the angles in order from least to greatest measure W 3. 3 in. 5 in. 18 cm 26 cm 4 in. Z 30 cm 4 ft 6 ft 8 ft in. 13 in. 27 m 10 cm 16 cm 24 m Y Z 16 in. 8 cm 18 m V List the sides in order from least to greatest measure Y T 28 L Identif the angle with the greatest measure in in. 17 cm 14 in. 11 cm 19 mm G F 13 cm I 38 mm 27 mm H Identif the side with the greatest measure. 13. J P L K N Q Glencoe/cGraw-Hill 40 Geometr: oncepts and pplications

45 7 4 N T PI Triangle Inequalit Theorem etermine if the three numbers can be measures of the sides of a triangle. Write es or no. plain. 1. 6, 7, , 1, , 4, , 8, , 20, , 4, , 5, , 12, , 7, , 15, , 12, , 7, 10 Find the range of possible measures for the third side of a triangle with the measures given for two sides , , , , , , , , , , , , 120 Glencoe/cGraw-Hill 41 Geometr: oncepts and pplications

46 8 1 N T PI Quadrilaterals efer to quadrilaterals and NZ. 1. Name the side opposite. 2. Name a side that is consecutive with. 3. Name a pair of consecutive vertices in. 4. Name the verte opposite. 5. Name the two diagonals in. 6. Name a pair of consecutive angles in NZ. ercises Name the verte opposite. 8. Name the side opposite Z. N 9. Name a side that is consecutive with N. Z 10. Name the diagonals in NZ. ercises 6-10 Find the missing measure(s) in each figure Glencoe/cGraw-Hill 42 Geometr: oncepts and pplications

47 8 2 N T PI Parallelograms Find each measure. 1. m H 2. m G F G 3. GH 4. FG 25 I H Find each measure. 5. m Z 6. m W W 7. Y 8. W Z Y In the figure, TQ 42 and S 14. Find each measure. 9. T 10. m QST S T 11. S 12. m ST SQ 14. ST Q Q In a parallelogram, the measure of one side is 38. Find the measure of the opposite side. 18. The measure of one angle of a parallelogram is 45. etermine the measures of the other three angles. Glencoe/cGraw-Hill 43 Geometr: oncepts and pplications

48 8 3 N T PI Tests for Parallelograms etermine whether each quadrilateral is a parallelogram. Write es or no. If es, give a reason for our answer Glencoe/cGraw-Hill 44 Geometr: oncepts and pplications

49 8 4 N T PI ectangles, hombi, and Squares Identif each parallelogram as a rectangle, rhombus, square, or none of these Find each measure cm 11. m 12. m 13. m 14. m ercises G 16. HF 17. m HG 18. m FH 18 in. F 19. m F 20. FG 21. F 22. m FG in. H 22 in. ercises G Glencoe/cGraw-Hill 45 Geometr: oncepts and pplications

50 8 5 N T PI Trapezoids For each trapezoid, name the bases, the legs, and the base angles W G P T Z Y Find the length of the median in each trapezoid ft m 7 ft 10 cm 24 cm 14 m d 8. 7 in m 38 d 1 in. 12 m Find the missing angle measures in each isosceles trapezoid N 12. Q U P H T 72 F Glencoe/cGraw-Hill 46 Geometr: oncepts and pplications

51 9 1 N T PI Using atios and Proportions Write each ratio in simplest form feet to 25 feet centimeters to 15 centimeters meters to 60 meters inches to 24 inches inches to 3 feet centimeters to 2 meters feet to 10 ards quarts to 5 gallons Solve each proportion Glencoe/cGraw-Hill 47 Geometr: oncepts and pplications

52 9 2 N T PI Similar Polgons etermine whether each pair of polgons is similar. Justif our answer If each pair of polgons is similar, find the values of and Glencoe/cGraw-Hill 48 Geometr: oncepts and pplications

53 9 3 N T PI Similar Triangles etermine whether each pair of triangles is similar. If so, tell which similarit test is used and complete the statement Z Y N Y Z Y? N?? Q 5 7 F Y F 5 Z I F? Y? FGI? G 4 Find the value of each variable Glencoe/cGraw-Hill 49 Geometr: oncepts and pplications

54 9 4 N T PI Proportional Parts and Triangles omplete each proportion.? S 1. = 2. = W? S 3. = 4. =?? S 5. = 6. =? T? W T ST W S? W WT 7. = 8. =? S W ST W? TW W 9. = 10. = S?? S S 11. = 12. = T? Find the value of Glencoe/cGraw-Hill 50 Geometr: oncepts and pplications

55 9 5 N T PI Triangles and Parallel Lines In each figure, determine whether S S 30 6 S S S S S 8,, and are the midpoints of the sides of. omplete each statement. 7.? 8.? 9. If 15, then? 10. If 62, then? 11. If m 75, then m? 12. If m 52, then m? 13.? 14. If 28, then? 15. If 50, then? 16. If 74, then? 17. If m 60, then m? 18. If 19, then? Glencoe/cGraw-Hill 51 Geometr: oncepts and pplications

56 9 6 N T PI Proportional Parts and Parallel Lines omplete each proportion. T? WY Z Y W T? T W Y Z W WY?? Y Z TZ 5. 6.? T? TZ T W WY Z Y Find the value of Glencoe/cGraw-Hill 52 Geometr: oncepts and pplications

57 9 7 N T PI Perimeters and Similarit Find the value of each variable for each pair of similar triangles N z 12 5 z 4 P H 10 F G S z P T S Perimeter of ST 30 Perimeter of 24 Perimeter of PS z 25 N z F Perimeter of N 11 Perimeter of F 51 Perimeter of QPZ 168 Q T 14 S z Z P etermine the scale factor for each pair of similar triangles. Z Y Y N F 12 H L YZ to 8. to Y 9. FH to LN 10. to YZ 11. Y to 12. LN to FH 13. The perimeter of is 72 feet. If F and the scale factor of to F is, find the perimeter of F. 4 5 Glencoe/cGraw-Hill 53 Geometr: oncepts and pplications

58 10 1 N T PI Naming Polgons Identif each polgon b its sides. Then determine whether it appears to be regular or not regular. If not regular, eplain wh Name each part of heagon F. 4. two consecutive vertices 5. two diagonals F 6. all nonconsecutive sides of 7. an three consecutive sides 8. an four consecutive vertices lassif each polgon as conve or concave Glencoe/cGraw-Hill 54 Geometr: oncepts and pplications

59 10 2 N T PI iagonals and ngle easure Find the sum of the measures of the interior angles in each figure Q Z Y F T S I 6. H J L P K L Z L N Find the measure of one interior angle and one eterior angle of each regular polgon. If necessar, round to the nearest degree. 7. triangle 8. octagon 9. decagon 10. nonagon 11. quadrilateral 12. heagon 13. The sum of the measures of three interior angles of a quadrilateral is 245. What is the measure of the fourth interior angle? 14. The sum of the measures of si eterior angles of a heptagon is 310. What is the measure of the seventh eterior angle? 15. The sum of the measures of seven interior angles of an octagon is What is the measure of the eighth interior angle? 16. The sum of the measures of nine eterior angles of a decagon is 325. What is the measure of the tenth eterior angle? Glencoe/cGraw-Hill 55 Geometr: oncepts and pplications

60 10 3 N T PI reas of Polgons Find the area of each polgon in square units stimate the area of each polgon in square units Sketch two polgons that both have a perimeter of 20 units, but that have different areas. 14. Sketch a pentagon with an area of 20 square units. Glencoe/cGraw-Hill 56 Geometr: oncepts and pplications

61 10 4 N T PI reas of Triangles and Trapezoids Find the area of each triangle or trapezoid m 20 ft 14 cm 5 m 37 ft 20 cm 8 m in. 7 ft 12 in. 5 ft 19 cm 16 cm 26 cm 15 ft m 27 in. 19 mm 3 m 17 in. 5 in. 3 m 24 mm m 28 cm 2 cm 3 cm 22 cm 6 cm 18 m 13. Find the area of a trapezoid whose altitude measures 8 feet and whose bases are 9 feet and 21 feet long. 14. Find the area of a triangle whose base measures 17 inches and whose altitude is 10 inches. 15. Find the area of a trapezoid whose altitude measures 77 meters and whose bases are 200 meters and 300 meters long. 16. The area of a triangle is 500 square feet. The height of the altitude is 25 feet. What is the length of the base? Glencoe/cGraw-Hill 57 Geometr: oncepts and pplications

62 10 5 N T PI reas of egular Polgons Find the area of each regular polgon ft 9 in. 12 cm 18 cm 4 ft 10 in cm 8 m 2.5 cm 7 in. 22 in. 7 m Find the area of the shaded region in each regular polgon in. 15 ft 5 m 24 in. 12 ft 6 m in. 18 m 18 cm 24 in. 13 m 30 cm 13 cm 17 cm Glencoe/cGraw-Hill 58 Geometr: oncepts and pplications

63 10 6 Smmetr N T PI etermine whether each figure has line smmetr. If it does, draw all lines of smmetr. If not, write no etermine whether each figure has rotational smmetr. Write es or no Glencoe/cGraw-Hill 59 Geometr: oncepts and pplications

64 10 7 N T PI Tessellations Identif the figures used to create each tessellation. Then identif the tessellation as regular, semi regular, or neither reate a tessellation using the given polgons. 7. right triangles 8. equilateral triangles and rhombi Glencoe/cGraw-Hill 60 Geometr: oncepts and pplications

65 11 1 N T PI Parts of a ircle Use at the right to determine whether each statement is true or false. 1. T is a radius of. 2. is a chord of. 3. ZU 2(Z) 4. S SW 5. T 6. S W is a diameter of. 7. S W is a chord of. 8. T Z 9. T is a chord of. 10. SU 11. S U 12. S Y is a chord of. 13. S S 14. Z U is a chord of. 15. Z U is a radius of. 16. U is a chord of. Y Z S W U T ircle W has a radius of 15 units, and Z has a radius of 10 units. 17. If Y 7, find YZ. 18. If Y 7, find W. 19. If Y 7, find T. T W Y Z 20. If Y 7, find W. Glencoe/cGraw-Hill 61 Geometr: oncepts and pplications

66 11 2 N T PI rcs and entral ngles Find each measure in if m 80, mf 45, and and F are diameters. 1. m F 2. m 3. m F 4. mf 5. m 7. mf 9. m 11. m 6. m 8. m 10. m 12. mf F In, is a diameter, m 85, and m 120. etermine whether each statement is true or false. 13. m m m 15. is a central angle. 16. m m 17. m m m m m Q is the center of two circles with radii Q and Q. If m Q 90 and m 115, find each measure. 21. m 22. m Q 23. m 25. m 27. ms 24. m Q 26. ms 28. m S Q Glencoe/cGraw-Hill 62 Geometr: oncepts and pplications

67 11 3 N T PI rcs and hords omplete each sentence. 1. If SG, then S G? 2. If ST T, then ST? 3. If T G, then T? S Q T 4. If ST T, S T? 5. If G S, then S? G 6. If SG, then? 7. If S G, then? 8. If T G, then ST? 9. If T G, then S Q? 10. If T G and ST T, then SQT? 11. If S Q Q, then T? 12. If S, then G? Use, where W Y, to complete each sentence. 13. If W 23, then Y? 14. If WY 38, then WZ? 15. If WZ 15, then WY? 16. If Z 6 and WZ 8, then W? W 17. If W 15 and Z 9, then WZ? 18. If WY 40 and Z 15, then W? Z Y 19. If Y 30 and Z 18, then WY? 20. If mwy 110, then mw? Glencoe/cGraw-Hill 63 Geometr: oncepts and pplications

68 11 4 N T PI Inscribed Polgons Use to find. 1. W 8, ZN 2 5 W Z 2. W 3 10, ZN 2 15 P Q 3. W 6, ZN W 2 5, ZN 5 N 5. W 5 1, ZN W 4 15, ZN W 8, ZN W 4, ZN W 1, ZN W , ZN Square SQU is inscribed in with a radius of 20 meters. 11. Find m SQ. S Q 12. Find SQ to the nearest tenth. 13. Find to the nearest tenth. U Glencoe/cGraw-Hill 64 Geometr: oncepts and pplications

69 11 5 N T PI ircumference of a ircle Find the circumference of each object to the nearest tenth. 1. a round swimming pool 2. a circular top of a 3. the circular base of a with radius 12 feet trampoline with paper weight with diameter 16 feet diameter 3 centimeters 4. a with diameter 5. circular garden with 6. circular mirror with 11 centimeters radius 10 feet diameter 4 feet Find the circumference of each circle to the nearest tenth. 7. r 7 cm 8. d 20 d 9. r 1 m 10. d 6 ft 11. r 200 ft 12. d 5 in. 13. r 2 m 14. d 70 ft 15. r 3 in. 16. d 10 in. 17. r 19 m 18. d 35 d Find the radius of each circle to the nearest tenth for each circumference given m ft mi cm in m d cm ft Glencoe/cGraw-Hill 65 Geometr: oncepts and pplications

70 11 6 N T PI rea of a ircle Find the area of each circle to the nearest hundredth. 1. r 10 in. 2. r 18 cm 3. r 4 mm 4. d 50 ft 5. d 6 in. 6. d 30 m d m ft 10. r 1 mi 11. d 90 m ft 13. d 300 ft 14. r 6 in m circle has a radius of 10 inches. Find the area of a sector whose central angle has the following measure. ound to the nearest hundredth Glencoe/cGraw-Hill 66 Geometr: oncepts and pplications

71 12 1 N T PI Solid Figures Name the faces, edges, and vertices of each polhedron J I 3. F G K N L H S T P Name each solid etermine whether each statement is true or false for the solid. 7. The figure is a prism. 8. The base of the figure is a pentagon. 9. There are five lateral faces. H I 10. The figure has 6 edges. G F Glencoe/cGraw-Hill 67 Geometr: oncepts and pplications

72 12 2 N T PI Surface reas of Prisms and linders Find the lateral area and the surface area for each solid. ound to the nearest hundredth, if necessar cm 4 cm 30 ft 8 ft 10 ft 3 m 5 m 4 m 4 m d 3 in. 18 in. 8 in. 2 d 2 d 6 in. 8 in cm cm 16 cm 15 cm 5 ft 15 ft 11 ft 3 ft 3 ft m 16 m 18 cm 12 cm 33 mm 24 cm 18 mm Glencoe/cGraw-Hill 68 Geometr: oncepts and pplications

73 12 3 N T PI Volumes of Prisms and linders Find the volume of each solid. ound to the nearest hundredth, if necessar ft 20 in. 13 in. 10 ft 10 ft 3 in. 5 in. 4 in ft 6 ft 22 cm 7 ft 4 ft 1 ft 6 cm 4 cm in. 20 in. 6 m 26 in. 8 in. 15 in. 3 m 4 m ft 2 ft 5 m 32 ft 3 m 11 m 32 ft 20 ft Glencoe/cGraw-Hill 69 Geometr: oncepts and pplications

74 12 4 N T PI Surface reas of Pramids and ones Find the lateral area and the surface area of each regular pramid or cone. ound to the nearest hundredth, if necessar ft 26 cm 23 m 3 ft 11 cm 4 m 10 m ft 180 in. 7 ft 60 cm 54 in. 32 cm cm 28 ft 8 in. 11 in. 125 cm 7 ft 8 ft km 10 mi 9 cm 18 cm 5 km 4 mi Glencoe/cGraw-Hill 70 Geometr: oncepts and pplications

75 12 5 N T PI Volumes of Pramids and ones Find the volume of each solid. ound to the nearest hundredth, if necessar in. 3 in. 4 in. 20 cm 15 cm 40 ft 30 ft 4. 9 mm mi 25 mm 8 d 7 mi 2 d 6 d in. 21 ft 24 cm 22 in. 15 in. 8 ft 14 cm 30 cm in. 6 ft 36 in. 2 cm 4 ft 3 cm 3 ft Glencoe/cGraw-Hill 71 Geometr: oncepts and pplications

76 12 6 N T PI Spheres Find the surface area and volume of each sphere. ound to the nearest hundredth m 15 in. 40 ft mi 70 km 2 in mm 28 ft 100 mi ft 6 cm 400 m Glencoe/cGraw-Hill 72 Geometr: oncepts and pplications

77 12 7 N T PI Similarit of Solid Figures etermine whether each pair of solids is similar m 6 m 24 m 18 m 10 in. 15 in in. 5 in. 4 cm 5 cm 20 in. 10 in. 8 cm 13 cm m 45 m 6 mm 20 m 40 m 60 m 3 mm 12 mm 30 m 5 mm Find the scale factor of the solid on the left to the solid on the right for each pair of similar solids. Then find the ratios of the surface areas and the volumes m 16 m 7 ft 8 ft Glencoe/cGraw-Hill 73 Geometr: oncepts and pplications

78 13 1 N T PI Simplifing Square oots Simplif each epression What is the square root of 625? 22. ultipl Write 3 15 in simplest form. Glencoe/cGraw-Hill 74 Geometr: oncepts and pplications

79 13 2 N T PI Triangles Find the missing measures. Write all radicals in simplest form Glencoe/cGraw-Hill 75 Geometr: oncepts and pplications

80 13 3 N T PI Triangles Find the missing measures. Write all radicals in simplest form Glencoe/cGraw-Hill 76 Geometr: oncepts and pplications

81 13 4 N T PI Tangent atio Find each tangent. ound to four decimal places, if necessar Z Y 30 T tan 2. tan Y 3. tan S S 4. tan 5. tan 6. tan Find each missing measure. ound to the nearest tenth ft 9. cm cm ft in. in m m 60 ft 30 ft 90 m 30 m d ft 78 5 d ft 12 m 5 m Glencoe/cGraw-Hill 77 Geometr: oncepts and pplications

82 13 5 N T PI Sine and osine atios Find each sine or cosine. ound to four decimal places, if necessar F G 14 K H 1. sin 2. cos 3. cos 4. sin 5. sin F 6. cos G Find each missing measure. ound to the nearest tenth m 9. ft 34 ft m 28 cm 15 cm m cm 52 cm 78 m 78 in. 84 in mm km 7 ft 3 ft 23 mm 70 km Glencoe/cGraw-Hill 78 Geometr: oncepts and pplications

83 14 1 N T PI Inscribed ngles etermine whether each angle is an inscribed angle. Name the intercepted arc for the angle. 1. Y 2. ST 3. N T Y S N Find each measure. 4. m 5. m 6. m 7. m 8. m ZYW 9. mvz 10. m YV 11. mwy 12. my 13. m ZY 50 Y V P W 70 Z 70 ercises 4 7 ercises 8 13 Find the value of in each circle (6 1) (7 8) N (2 4) ( 10) P Q (9 4) P N (8 2) (3 5) 19. V Z W 80 Y ( 5) (8 4) (6 2) Glencoe/cGraw-Hill 79 Geometr: oncepts and

84 14 2 N T PI Tangents to a ircle Find each measure. ound to the nearest tenth if necessar. ssume segments that appear to be tangent are tangent F 3. S 3 in. 11 cm P Q 50 ft 5 in. G 13 cm F S 4. m 5. m 6. G 28 cm F G 35 cm 7. m ZY 8. F cm 7 cm Z F Y 30 cm S 20 in. N 15 in. P HG 12. m ZY H 16 m 30 m 4 mi Z Y G J I Glencoe/cGraw-Hill 80 Geometr: oncepts and pplications

85 14 3 N T PI Secant ngles Find each measure. 1. m F 2. m 3. m LP F P 36 K 71 N P L m YZ 5. m 6. mwz T Z Y 28 G 24 Y 44 P 40 Z W 7. mf G F 8. msq 9. m 95 W S 24 Q T H Find the value of in each circle. Then find the given measure. 10. m F mhg 12. mjl K 7 G 76 I Q J L K (6 2) (4 2) 7 H (7 3) Glencoe/cGraw-Hill 81 Geometr: oncepts and pplications

86 14 4 N T PI Secant-Tangent ngles Find the measure of each angle. ssume segments that appear to be tangent are tangent YZ Y 120 Z TUY T U 8 Y Glencoe/cGraw-Hill 82 Geometr: oncepts and pplications

87 14 5 N T PI Segment easures Find the value of in each circle. If necessar, round to the nearest tenth Find each measure. If necessar, round to the nearst tenth IH 12. W F W I G 8 H Z 5 Y 4 Glencoe/cGraw-Hill 83 Geometr: oncepts and pplications

88 14 6 N T PI quations of ircles Write an equation of a circle for each center and radius or diameter measure given. 1. (1, 1), r 2 2. ( 3, 2), d 2 3. ( 1, 5), r 3 4. (4, 3), d 4 5. (0, 2), r 4 6. (5, 0), r 1 7. (0, 0), r 6 8. ( 1, 1), d 6 9. ( 5, 5), r ( 3, 3), d ( 6, 1), d (4, 4), d (3, 7), d ( 5, 2), r (0, 2), r (7, 0), d 2 5 Find the coordinates of the center and the measure of the radius for each circle whose equation is given. 17. ( 5) 2 ( 2) ( 3) 2 ( 7) ( 1) 2 ( 8) ( 9) ( 3) ( 6) 2 ( 6) ( 4) ( 1) 2 ( 1) 2 10 Glencoe/cGraw-Hill 84 Geometr: oncepts and pplications

89 15 1 N T PI Logic and Truth Tables For ercises 1 16, use conditionals a, b, c and d. a: triangle has three sides. b: Januar is a da of the week. c: d: Parallel lines do not intersect. Write the statements for each negation. 1. a 2. b 3. c 4. d Write a statement for each conjunction or disjunction. Then find the truth value. 5. a b 6. a b 7. a c 8. a c 9. a d 10. a d 11. b c 12. b c 13. b d 14. b d 15. c d 16. c d Glencoe/cGraw-Hill 85 Geometr: oncepts and pplications