48) In the diagram below, which angle is congruent to < 8? J 6 (8G1)

Transcription

1 48) In the diagram below, which angle is congruent to < 8? F 1 G H 5 J 6 (8G1) 49) Line m and n intersect as shown below Which pairs of angles are congruent? m A X and W ; Y and Z X < W and Y ; Z and X W Z Y C Y and X ; Z and W n D < Z and < Y ; < Y and < X (8G1) 50) In the figure below < R and < S are formed by two intersecting lines. If < R measures 48 o, what is the measure of < S A 132 o R B 32 o S C 42 o D 48 o (8G1) 12

2 51) In the diagram below, which pair of angles has the same measure? A < 1 and < 2 4 B < 1 and < C < 2 and < 3 D < 2 and < 4 (8G1) 52) In the diagram below, PQ intersects RT at point S and the measure of TSQ is 79 o What is the measure, in degrees of x? A 79 o P T S B 101 o x 79 O C 268 o R Q D 169 o (8G1) 53) In the diagram below, which angles are complementary? A 3 and 1 B 3 and C 3 and D 3 and 5 (8G2) 13

3 54) Which two angles in the triangle below are complementary? A BAC and CAD B B CDA and CAD 52 o C ABC and BAC C 105 o D BCA and ACD 38 o D A ( Not drawn to scale) (8G2) 55) In the diagram below, line r and line t are parallel, and line p is a transversal. Which angles are supplementary? A 1 and 3 r t B 1 and 2 1 p 5 4 C 3 and D 3 and 4 (8G2) 56) In the diagram below, which pair of angles is complementary? A 1 and 2 B 2 and C 2 and D 3 and 4 (8G2) 14

4 57) In the diagram below, lines a and b are parallel. Which angle is supplementary to < 2? A < 3 B < 4 a C < b 8 7 D < 7 (8G2) 58) Jack makes a table in his shop class. A diagram of the top of the table is shown below. What is the measure of < y? A 55 o B 65 o C 125 o D 135 o y 55 o (Not drawn to scale) (8G3) 59) In the diagram below JL intersects KM at point K. What is the measure of < JKM J A 30 o L x o (5x) o B 60 o M K C D 120 o 150 o (Not drawn to scale) (8G3) 15

5 60) In the diagram below, line l and line m are parallel, and line k is a transversal 134 P Q R U S T W [not drawn to scale] What is the measure of < U? Answer degrees On the lines below, explain how you determined your answer. 16

6 61) In the diagram below, < G and < H are complementary. What is the measure of < G A 38 o B 50 o (3x 10) o (2x + 20) o C 58 o G H (Not drawn to scale) D 32 o (8G3) 62) In the diagram below, what is the measure of angle x? A 48 o x B 138 o 42 o C 58 o (Not drawn to scale) D 148 o (8G3) 17

7 63) In the diagram below, < DEF and < FEG are complementary E D 32 o F G What is the measure of < FEG? (Not drawn to scale) Answer degrees (8G3) 64) In the diagram below, line f and line h are parallel, and line n is a transversal. Which term expresses the relationship of < 1 and < 8 A adjacent 4 3 n 2 1 f B congruent 6 5 C supplementary 8 7 h D complementary (8G4) 18

8 65) In the diagram below NP and ST are parallel and MQ intersects both lines. What is the measure of < x? A 35 o M P B 55 o N 35 o T C 145 o x S D 155 o Q (Not drawn to scale) (8G5) 66) Elm Street crosses two parallel railroad tracks, as shown below. 40 O 2 1 Railroad Tracks (Not drawn to scale) Elm Street What is the measure of < 1 Answer degrees (8G5) 67) In the diagram below, line p and line m are parallel. What is the measure of < x? p m A 26 o B 64 o 64 O x C 116 o D 164 o (Not drawn to scale) (8G5) 19

9 68) In the diagram below, lines n and m are parallel. 2 1 n 130 o m (Not drawn to scale) Part A What is the measure, in degrees, of < 1? Answer degrees On the lines below, explain how you determined the measure of < 1. Part B What is the measure, in degrees, of < 2? Answer degrees On the lines below, explain how you determined the measure of < 2. (8G5) 20

10 69) In the diagram below, line l and line m are parallel and line k is a transversal. What is the measure of < U? A l B C D E m F G k Answer degrees On the lines below, explain how you determined your answer. 21

11 70) In the diagram below PQ RS, and transversal t intersects both lines Which angle is the same as < 7 A < 1 t 1 2 B < 3 P 3 4 Q C < R 7 8 S D < 5 (8G5) 71) In the diagram below, MN OP, and transversal k intersects both lines k M N 5 6 O 7 8 P Name two angles in the diagram that are congruent to < 4 Answer < and < On the lines below, explain how you determined these angles are congruent to <4 (8G5) 22

12 72) In the diagram below, line m intersects line n. Which pair of angles must be congruent? A < 1 and < 3 B < 5 and < 2 C < 2 and < 4 D < 1 and < 4 73) In the diagram below, line a and line b are parallel and line t is a transversal a 2 b t What is the sum of the measures of < 1 and < 2? A C 180 o B D

13 74) Danielle angles her pool cue against the edge of her pool table, as shown here. A = (3x 56) o B = (x + 100) o Pool table edge pool cue (Not drawn to scale) What is the measure of < A Answer degrees (8G6) 24

14 75) In the figure below, line m is parallel to line n. Line p is a transversal. C m A (7w 30) o B n (2w + 75) o p (not drawn to scale) What is the measure of <ABC? Show your work. Answer degrees 25

15 76) In the diagram below, < PRQ measures 78 o. P Q S R T (Not drawn to scale) What is the measure of < QRT? Answer degrees (8G6) 77) In the diagram below, line a and line b are parallel, line c is a transversal and the measure of < 1 is 100 o. c a b Is < 3 congruent to < 1? On the lines below, explain how you determined your answer. If it is not congruent, give the correct measure of <

16 78) Sam drew a triangle on the coordinate grid shown below. Sam reflects the triangle in the y-axis, what will be the new coordinates of the vertices of the triangle? A (- 2, - 1), (5, - 3), (- 2, 4) B (- 2, - 1), (- 5, - 3), (- 2, - 4) C (2, 1), (- 5, 3), (- 2, 4) D (2, 1), (5, 3), (2, 4) (8G7) 27

17 79) Missy drew the shape on the grid shown below. Draw the reflection of this shape in the x-axis. Label the coordinates of each point on the new figure. A B D C On the lines below, explain how you determined the reflection of the shape. (8G7) 28

18 80) Sally drew two figures on the coordinate grid shown below. Fig B Fig A Which transformation did Sally apply to Figure A to get Figure B? A rotated 90 o B dilated by 3 C D reflected in the y-axis translated 7 units to the left (8G7) 81) Which figure below shows a reflection? ( A ) ( B ) ( C ) ( D ) (8G7) 29

19 82) Quadrilateral JKLM and its transformation quadrilateral J K L M are plotted on the grid below K L K L J M J M Part A Name the transformation that was applied to quadrilateral JKLM to get quadrilateral J K L M Answer Part B On the lines below, explain how you determined what transformation was applied to quadrilateral JKLM to get quadrilateral J K L M. (8G7) 30

20 83) Triangle ABC and triangle A B C are plotted on the coordinate plane below. B B A A C C What is the name of the transformation applied to triangle ABC that resulted in triangle A B C? Answer On the lines below, describe how the coordinates of point A changed to the coordinates of point A. (8G7) 31

21 84) A rectangle is plotted on the coordinate plane below Use A, B, C, or D to describe the relationship of each of the following to the original rectangle above. A B C D reflection over y-axis 90 o clockwise rotation about the origin reflection over x-axis 180 o clockwise rotation about the origin (8G8) 32

22 85) Trapezoid MNOP is plotted on the grid below N O M P Part A On the grid, draw the image of trapezoid MNOP after a reflection over the x-axis. Label the new trapezoid M N O P On the same grid, draw the image of trapezoid M N O P after a reflection over the y-axis. Label the new trapezoid M N O P Part B On the lines below, explain how you determined the location of point M (8G9) 33

23 86) Pentagon ABCDE is drawn on the grid below. C D E B A On the grid, draw a translation of pentagon ABCDE two units to the right and five units down. Be sure to draw the translated shape label the translated pentagon A B C D E What are the coordinates for point A? Answer (, ) (8G10) 34

24 87) Hexagon ABCDEF is plotted on the grid below A B C F D E Part A On the grid, draw the translation of hexagon ABCDEF five units to the left and three units up. Label the translated figure A B C D E F. Part B On the lines below, explain how you determined the location of A. (8G10) 35

25 88) On the coordinate plane below, draw the image of polygon ABCDE translated 7 units to the right and 5 units up. Label the image A, B, C, D, E. A B E D C (8G10) 36

26 89) The table below shows the coordinates of triangle RST and the coordinates of R in triangle R S T is a dilation of triangle RST. Triangle RST Triangle R S T R (- 2, 1) R (- 6, 3) S (0, - 2) S T (3, 2) T Part A What are the coordinates of point S and T Answer S = (, ) T = (, ) Part B On the grid below, draw triangle RST and triangle R S T (8G11) 37

27 90) The table below shows the coordinates of quadrilateral ABCD and the coordinates of A in quadrilateral A B C D. Quadrilateral A B C D is a dilation of quadrilateral ABCD. Quadrilateral ABCD Quadrilateral A B C D A (- 4, 4) A (- 2, 2) B (2, 6) B C (6, - 6) C D (0, - 8) D Part A What are the coordinates of point B, point C, and point D. Answer B = (, ) C = (, ) D = (, ) Part B On the grid below, draw Quadrilateral ABCD and Quadrilateral A B C D. (8G11) 38

28 91) The table below shows the coordinates of triangle EFG. Triangle EFG E (4, 8) F (8, - 8) Part A G (- 4, - 4) Part B Using a dilation factor of ¼, find the coordinates of the image of triangle EFG, which would be triangle E F G and list them below Answer E = (, ) F = (, ) G = (, ) On the grid below, draw triangle EFG and triangle E F G see 2008 (8G11) 39

29 92) The table below shows values for x and y when y = 4x 3 x y Complete the table by finding the value of y when x = 3. Plot the ordered pairs shown in the table onto the coordinate plane below. Then draw a line connecting the points. A point on the line has an x-coordinate of 3. What is the corresponding y-coordinate? Answer (8G15) 40

30 Gallons 93) On the lines below, describe a situation that could be represented by the graph shown below. Minutes On the lines below, explain the reason the graph does not pass through the origin in the situation you described. 41

31 94) Jackie makes stuffed dolls to give as gifts. She needs 2 days to complete each doll. On the grid below, create a line graph that shows the relationship between the number of days it takes Jackie to make a stuffed doll and the number of dolls she completes. Be sure to - title your graph - label the axes - graph all the data How many stuffed dolls will Jackie make in 14 days? Answer stuffed dolls 42

32 95) The area of triangle ABC is 49 square inches. Under which transformation could the area of the image, triangle A B C, be greater than 49 square inches? A B C translation rotation dilation D reflection (8G12) 96) Nick s dogs eat 104 ounces of food in one week. How many pounds of food do Nick s dogs eat in one week? F 8 1 pound = 16 ounces G 6 ½ H 5 J ½ (8M1) 97) Sarah needs 24 ounces of milk for a recipe. She only has a ¼ - cup measuring cup. How many times does she need to fill the ¼ - cup measuring cup to measure the 24 ounces of milk? 1 cup = 8 fluid ounces Answer times (8M1) 43

33 98) Larry needs 60 four-foot pieces of rope for a school project. The hardware store sells rope by the yard. How many yards of rope will Larry need to purchase? A 20 B 60 C 80 D 120 (8M1) USE CALCULATOR - SHOW ALL WORK 99) Beth travels internationally on business. On a trip to Japan, Beth uses the exchange rates in the tables shown below. U. S. Dollar Japanese Yen Japanese Yen U.S. Dollar $ Yen 1 Yen $ What is the value of 105 U.S. dollars in Japanese yen. Round your answer to the nearest yen. Answer yen What is the value of 5000 Japanese yen in U.S. dollars. Round your answer to the nearest cent. Answer $ (8M1) 44