END OF COURSE GEOMETRY


 Dwain Cain
 2 years ago
 Views:
Transcription
1 SESSION: 35 PE: 3/0/06 :7 OIN ISjoer VIRINI STNRS O ERNIN Spring 005 Released Test EN O OURSE EOMETRY ORE Property of the Virginia epartment of Education 006 by the ommonwealth of Virginia, epartment of Education, P.O. ox 0, Richmond, Virginia ll rights reserved. Except as permitted by law, this material may not be reproduced or used in any form or by any means, electronic or mechanical, including photocopying or recording, or by any information storage retrieval system, without written permission from the copyright owner. ommonwealth of Virginia public school educators may reproduce any portion of these released tests for noncommercial educational purposes without requesting permission. ll others should direct their written requests to the Virginia epartment of Education, ivision of ssessment and Reporting at the above address or by to
2 006_eoormulaSht //05 0:07 M Page eometry ormula Sheet eometric ormulas b h h h h l b = bh b = h(b + b ) V = h.. = hp S..=.. + V = 3 h..= lp S..=.. + w r r h r l = lw p = (l + w) b 4 3 h h l a c b = bh l w V = lwh S..= lw + lh + wh h 3 r b c = a + b Example m Meaning angle measure of angle line segment measure of line segment line triangle rectangle parallelogram eometric Symbols Example Meaning vector right angle ine is parallel to line. ine is perpendicular to line. ngle is congruent to angle. Triangle is similar to triangle. Similarly marked segments are congruent. Similarly marked angles are congruent. bbreviations Volume ateral rea Total Surface rea rea of ase Pi 7 V.. S.. opyright 006 by the ommonwealth of Virginia epartment of Education
3 006_eoormulaSht //05 0:07 M Page
4 SESSION: 34 PE: /3/06 6:45 OIN ISgaryo eometry IRETIONS Read and solve each question. Then mark the space on the answer sheet for the best answer. SMPE E The figure shows line l intersecting lines r and s. l r s Y0306 rtodes Y0306.R In the figure, and are If is similar to E, then :?:E. Which replaces the? to make the statement true? E E alternate interior angles alternate exterior angles corresponding angles consecutive interior angles Y03050 The measures of some angles are given in the figure x rtodes Y03050.R 85 What is the value of x? ommonwealth of Virginia epartment of Education
5 SESSION: 34 PE: 3 /3/06 6:45 OIN ISgaryo 0587 Y rtodes Y R 3 The epartment of Transportation wants to extend the intersecting road across the highway, as indicated by the dotted line. x 55 intersecting road highway 4 The polygon shown is convex. E Y03063 rtodes Y03063.R new construction What should x be to ensure that the intersecting road and the new construction form a straight line? The sum of its interior angle measures is 900,60,60, l Y04077 m rtodes Y04077.R Which statement would be sufficient to prove that line l is parallel to line m? m l l 006 ommonwealth of Virginia epartment of Education 3
6 SESSION: 34 PE: 4 /3/06 6:45 OIN ISgaryo Y rtodes Y R 6 In this diagram, line d cuts three lines to form the angles shown d 7 Quadrilateral QRST is placed on a coordinate grid as shown. y T (4, 6) S (?,?) Y0404 rtodes Y0404.R a b c Which two lines are parallel? a and b a and c b and c No lines are parallel. Q (0, 0) R (8, 0) What coordinates for S make QRST a parallelogram? x (8, 6) (8, 0) (, 6) (, 0) 8! " $ # % & l m Y04073 rtodes Y04073.R Which condition will guarantee that line l is parallel to line m? ommonwealth of Virginia epartment of Education 4
7 SESSION: 34 PE: 5 /3/06 6:45 OIN ISgaryo Y0305 rtodes Y0305.R The drawing shows a compass and straightedge construction of a perpendicular to a given line from a point not on the line a perpendicular to a given line at a point on the line the bisector of a given angle an angle congruent to a given angle To which point should a line segment from be drawn so that the resulting figure is a rectangle? W X Y Z W X Y Z Y05 rtodes Y05.R 0 Y 0557 Y0606 rtodes Y0606.R W X Z XYZ is similar to STR. XY 6 and ST. If the perimeter of STR is 38, then what is the perimeter of XYZ? Y0563 l T Which point would be on a line perpendicular to l through T? W X Y Z 006 ommonwealth of Virginia epartment of Education 5
8 SESSION: 34 PE: 6 /3/06 6:45 OIN ISgaryo et p represent Y0804 z, and let q represent z is a rational number. Which is a representation of the statement below? 5 Which of the following statements represents a valid argument? If a b and a c, then b c. If a b and b c, then a c. If a b and a c, then c b. If a b and a c, then a b c Y0407 If z, then z is not a rational number. p q p q p q q p 6 iven: XY YX Y0550 rtodes Y0550.R X Y Isosceles Triangles Y050 Equilateral Triangles rtodes Y050.R Which is a true proportion? ccording to the Venn diagram, which statement is true? X Y XY ll isosceles triangles are also equilateral triangles. X X Y Y XY ll equilateral triangles are also isosceles triangles. Some equilateral triangles are also isosceles triangles. No isosceles triangles are equilateral triangles. X X Y Y XY X Y XY 006 ommonwealth of Virginia epartment of Education 6
9 SESSION: 34 PE: 7 /3/06 6:45 OIN ISgaryo iven: and intersect at X X X X X Y05508 rtodes Y05508.R Which congruency statement is true? X X X X X X X X X 9 In the drawing of triangle XYZ, which angle has the least measure? Y 5 ll angles have the same measure. XYZ ZXY XZY X 6 7 Z Y rtodes Y R Which list could not be the measures of lengths of the three sides of a given triangle? Y cm, cm, 5 cm ft,6ft,5ft mi, 4 mi, mi yd, 35 yd, 0 yd 0 If m 65, m 5, m 00, which lists the sides of the triangle in order from shortest to longest?,,,,,,,, Y ommonwealth of Virginia epartment of Education 7
10 SESSION: 34 PE: 8 /3/06 6:45 OIN ISgaryo 0547 windlass is used to pull a boat to the dock. The rope is attached to the boat at a point 7 feet below the level of the windlass. Y X Y 45 5 Z 0555 Y rtodes Y R rtodes Y07058.R 7 ft 5 ft or the triangle represented by the above drawing, what is the length of XZ? x ft What is the distance from the boat to the dock when the rope is 5 feet? ft 4 ft 8 ft 7ft 4 E 8400 Y The parallelogram has the measurements shown. Y rtodes Y R 0 63 h 5 In rectangle, which of the following pairs of segments are not necessarily congruent? and and and E and E rtodes Y08709.R Which is closest to the length of the altitude, h? ommonwealth of Virginia epartment of Education 8
11 SESSION: 34 PE: 9 /3/06 6:45 OIN ISgaryo The town plaza in a certain town is a parallelogram. The town s planning committee has decided to build a fountain at the center of the plaza. This sketch shows the corner points when placed on a coordinate grid. Y Quadrilateral is a parallelogram. 057 Y0860 rtodes Y0860.R rtodes Y0856.R (0, 4) Which of the following must be true? (, 0) (6, ) (4, 3) Which coordinates show where the fountain will be located? (, 0.5) (0.5, ) (3,.5) (.5, ) 7 is a rhombus Y0807 rtodes Y0807.R What is the measure of? ommonwealth of Virginia epartment of Education 9
12 SESSION: 34 PE: 0 /3/06 6:45 OIN ISgaryo If each interior angle of a regular polygon measures 0, how many sides does the polygon have? Y TV is a diameter of circle Z. T S 8 x U Z Y0070 rtodes Y0070.R Which angle measure below is not a possible measure of an exterior angle of a regular polygon? Y V What is the value of x? Y09067 rtodes Y09067.R 70 In the figure, what is the measure of? 3 O If P 8 and P 4, what is the measure of, the diameter of this circle? P Y000 rtodes Y000.R ommonwealth of Virginia epartment of Education 0
13 SESSION: 34 PE: /3/06 6:45 OIN ISgaryo TW is a diameter of circle X, and TW is parallel to UV. Y0060 T 5 U 34 This is a scale drawing of a tent where centimeter represents 0.5 meter. cm 0.5 m Y030 rtodes Y0060.R rtodes Y030.R X W V If the measure of TU is 5, what is the degree measure of UV? What is the height of the tent at its highest point? 0 m 5m 3m.5 m 006 ommonwealth of Virginia epartment of Education
14 SESSION: 34 PE: /3/06 6:45 OIN ISgaryo Y00 rtodes Y00.R Which represents a twodimensional view from directly above the figure? 37 spherical paintball measures.5 centimeters in diameter. pproximately how much paint is in it?.77 cm cm cm cm Y rtodes Y00.R Y00.R3 Y00.R4 Y00.R Which proportion can be used to find the value of PR if XMQ is similar to PRS? PR 0573 Y4R6 rtodes Y4R6.R To the nearest gallon, what is the volume of a cylindrical water heater.4 feet in diameter and 4 feet tall? ( cubic foot 7.48 gallons) Y gal 46 gal 59 gal 3 gal PR PR PR 006 ommonwealth of Virginia epartment of Education
15 SESSION: 34 PE: 3 /3/06 6:45 OIN ISgaryo When standing upright, ary knows his eyes are 6 feet above ground level. To determine the depth of a well, he stands in the position shown. Y4R40 40 ( 7, ) (3, 8) Y00 rtodes Y00.R 6 ft O rtodes Y4R40.R ft 6 ft The coordinates of the midpoint of are (5, 3) (5, 3) (, 5) (, 5) Using the given measures, how deep is the well? ft 4 ft 6 ft 8 ft 006 ommonwealth of Virginia epartment of Education 3
16 SESSION: 34 PE: 4 /3/06 6:45 OIN ISgaryo Parallelogram is placed on a coordinate grid as shown. Y07 5 y 4 y ' ' 0579 Y04 rtodes Y07.R 4 3 ' x rtodes Y04.R O x Triangle is What is the approximate length of diagonal? 3.0 units 5.4 units 9.0 units 0.6 units a translation of triangle across the yaxis a90 clockwise rotation of triangle about the origin a reflection of triangle across the yaxis a reflection of triangle across the xaxis 006 ommonwealth of Virginia epartment of Education 4
17 SESSION: 34 PE: 5 /3/06 6:45 OIN ISgaryo ow many different lines of symmetry does a square have? Y y x Y060 rtodes Y060.R Which is most likely the slope of the line graphed? ommonwealth of Virginia epartment of Education 5
18 SESSION: 34 PE: 6 /3/06 6:45 OIN ISgaryo 45 l Y050 rtodes Y050.R P m E exagon E is apparently symmetric with respect to point P only line m only line l only both lines l and m only 006 ommonwealth of Virginia epartment of Education 6
19 SESSION: 34 PE: 7 /3/06 6:45 OIN ISgaryo Test Sequence Number orrect nswer Reporting ategory nswer Key Reporting ategory escription 00 ines and ngles 00 ines and ngles 3 00 ines and ngles 4 00 ines and ngles 5 00 ines and ngles 6 00 ines and ngles 7 00 ines and ngles 8 00 ines and ngles 9 00 ines and ngles 0 00 ines and ngles 00 ines and ngles 00 Triangles and ogic 3 00 Triangles and ogic 4 00 Triangles and ogic 5 00 Triangles and ogic 6 00 Triangles and ogic 7 00 Triangles and ogic 8 00 Triangles and ogic 9 00 Triangles and ogic 0 00 Triangles and ogic 00 Triangles and ogic 00 Triangles and ogic 3 00 Triangles and ogic Polygons and ircles Polygons and ircles Polygons and ircles Polygons and ircles Polygons and ircles Polygons and ircles Polygons and ircles Polygons and ircles Polygons and ircles Polygons and ircles Threeimensional igures Threeimensional igures Threeimensional igures Threeimensional igures Threeimensional igures Threeimensional igures oordinate Relations and Transformations oordinate Relations and Transformations oordinate Relations and Transformations oordinate Relations and Transformations oordinate Relations and Transformations oordinate Relations and Transformations
END OF COURSE GEOMETRY
SESSION: 29 PE: 1 11/15/101 10:44 OIN ISpam PT: @sun1/xydisk2/s_psycorp/rp_virginia/o_537591g11/iv_g11geotest VIRINI STNRS O ERNIN SSESSMENTS Spring 2001 Released Test EN O OURSE EOMETRY SESSION: 19 PE:
More informationEND OF COURSE GEOMETRY
VIRINI STNRS O LERNIN Spring 2006 Released Test EN O OURSE EOMETRY ORE Property of the Virginia epartment of Education 2007 by the ommonwealth of Virginia, epartment of Education, P.O. ox 220, Richmond,
More informationEND OF COURSE GEOMETRY CORE 1
SESSION: 24 PE: 1 5/5/04 13:29 OIN ISglenn PT: @sunultra1/raid/s_tpc/rp_va_sprg04/o_04ribsg11/iv_g11geom1 VIRINI STNRS O ERNIN SSESSMENTS Spring 2004 Released Test EN O OURSE EOMETRY ORE 1 Property
More informationEND OF COURSE GEOMETRY
SESSION: 42 PE: 4/20/02 9:7 OIN ISpam PT: @sun/ydisk2/s_psycorp/rp_virginia/o_5752g/iv_ggeom VIRINI STNRS O ERNIN SSESSMENTS Spring 2002 Released Test EN O OURSE EOMETRY SESSION: 42 PE: 2 4/20/02 9:7
More informationEND OF COURSE GEOMETRY
SSSION: 27 P: 1 1/26/04 9:8 OIN ISjoer PT: @sunultra1/raid/s_tpc/rp_va_sprg03/o_03olptg11/iv_g11geom1 VIRINI STNRS O RNIN SSSSMNTS Spring 2003 Released Test N O OURS OMTRY Property of the Virginia epartment
More information*1. Derive formulas for the area of right triangles and parallelograms by comparing with the area of rectangles.
Students: 1. Students understand and compute volumes and areas of simple objects. *1. Derive formulas for the area of right triangles and parallelograms by comparing with the area of rectangles. Review
More informationEND OF COURSE ALGEBRA I
SESSION: PE: /6/0 8: OIN ISjoer PT: @sunultra/raid/s_tpc/rp_va_sprg0/o_0olptg/iv_galg VIRINI STNRS O ERNIN SSESSMENTS Spring 00 Released Test EN O OURSE ER I Propert of the Virginia epartment of Education
More information0810ge. Geometry Regents Exam 0810
0810ge 1 In the diagram below, ABC XYZ. 3 In the diagram below, the vertices of DEF are the midpoints of the sides of equilateral triangle ABC, and the perimeter of ABC is 36 cm. Which two statements identify
More informationName Geometry Exam Review #1: Constructions and Vocab
Name Geometry Exam Review #1: Constructions and Vocab Copy an angle: 1. Place your compass on A, make any arc. Label the intersections of the arc and the sides of the angle B and C. 2. Compass on A, make
More information(a) 5 square units. (b) 12 square units. (c) 5 3 square units. 3 square units. (d) 6. (e) 16 square units
1. Find the area of parallelogram ACD shown below if the measures of segments A, C, and DE are 6 units, 2 units, and 1 unit respectively and AED is a right angle. (a) 5 square units (b) 12 square units
More informationA = ½ x b x h or ½bh or bh. Formula Key A 2 + B 2 = C 2. Pythagorean Theorem. Perimeter. b or (b 1 / b 2 for a trapezoid) height
Formula Key b 1 base height rea b or (b 1 / b for a trapezoid) h b Perimeter diagonal P d (d 1 / d for a kite) d 1 d Perpendicular two lines form a angle. Perimeter P = total of all sides (side + side
More informationGEOMETRY FINAL EXAM REVIEW
GEOMETRY FINL EXM REVIEW I. MTHING reflexive. a(b + c) = ab + ac transitive. If a = b & b = c, then a = c. symmetric. If lies between and, then + =. substitution. If a = b, then b = a. distributive E.
More informationGeorgia Online Formative Assessment Resource (GOFAR) AG geometry domain
AG geometry domain Name: Date: Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (1 of 36 ) 1. Amy drew a circle graph to represent
More informationhttp://www.castlelearning.com/review/teacher/assignmentprinting.aspx 5. 2 6. 2 1. 10 3. 70 2. 55 4. 180 7. 2 8. 4
of 9 1/28/2013 8:32 PM Teacher: Mr. Sime Name: 2 What is the slope of the graph of the equation y = 2x? 5. 2 If the ratio of the measures of corresponding sides of two similar triangles is 4:9, then the
More informationChapter 7 Quiz. (1.) Which type of unit can be used to measure the area of a region centimeter, square centimeter, or cubic centimeter?
Chapter Quiz Section.1 Area and Initial Postulates (1.) Which type of unit can be used to measure the area of a region centimeter, square centimeter, or cubic centimeter? (.) TRUE or FALSE: If two plane
More information7. 6 Justifying Constructions
31 7. 6 Justifying Constructions A Solidify Understanding Task CC BY THOR https://flic.kr/p/9qkxv Compass and straightedge constructions can be justified using such tools as: the definitions and properties
More informationLesson 9.1 The Theorem of Pythagoras
Lesson 9.1 The Theorem of Pythagoras Give all answers rounded to the nearest 0.1 unit. 1. a. p. a 75 cm 14 cm p 6 7 cm 8 cm 1 cm 4 6 4. rea 9 in 5. Find the area. 6. Find the coordinates of h and the radius
More informationA. 3y = 2x + 1. y = x + 3. y = x  3. D. 2y = 3x + 3
Name: Geometry Regents Prep Spring 2010 Assignment 1. Which is an equation of the line that passes through the point (1, 4) and has a slope of 3? A. y = 3x + 4 B. y = x + 4 C. y = 3x  1 D. y = 3x + 1
More informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Student Name:
GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Wednesday, August 18, 2010 8:30 to 11:30 a.m., only Student Name: School Name: Print your name and the name of
More informationChapter 1: Essentials of Geometry
Section Section Title 1.1 Identify Points, Lines, and Planes 1.2 Use Segments and Congruence 1.3 Use Midpoint and Distance Formulas Chapter 1: Essentials of Geometry Learning Targets I Can 1. Identify,
More informationacute angle acute triangle Cartesian coordinate system concave polygon congruent figures
acute angle acute triangle Cartesian coordinate system concave polygon congruent figures convex polygon coordinate grid coordinates dilatation equilateral triangle horizontal axis intersecting lines isosceles
More informationGeometry Regents Review
Name: Class: Date: Geometry Regents Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. If MNP VWX and PM is the shortest side of MNP, what is the shortest
More informationTopics Covered on Geometry Placement Exam
Topics Covered on Geometry Placement Exam  Use segments and congruence  Use midpoint and distance formulas  Measure and classify angles  Describe angle pair relationships  Use parallel lines and transversals
More informationMATH 139 FINAL EXAM REVIEW PROBLEMS
MTH 139 FINL EXM REVIEW PROLEMS ring a protractor, compass and ruler. Note: This is NOT a practice exam. It is a collection of problems to help you review some of the material for the exam and to practice
More informationCentroid: The point of intersection of the three medians of a triangle. Centroid
Vocabulary Words Acute Triangles: A triangle with all acute angles. Examples 80 50 50 Angle: A figure formed by two noncollinear rays that have a common endpoint and are not opposite rays. Angle Bisector:
More informationEstimating Angle Measures
1 Estimating Angle Measures Compare and estimate angle measures. You will need a protractor. 1. Estimate the size of each angle. a) c) You can estimate the size of an angle by comparing it to an angle
More informationSHAPE, SPACE AND MEASURES
SHPE, SPCE ND MESURES Pupils should be taught to: Understand and use the language and notation associated with reflections, translations and rotations s outcomes, Year 7 pupils should, for example: Use,
More informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Thursday, August 13, 2009 8:30 to 11:30 a.m., only.
GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Thursday, August 13, 2009 8:30 to 11:30 a.m., only Student Name: School Name: Print your name and the name of your
More informationCoordinate Coplanar Distance Formula Midpoint Formula
G.(2) Coordinate and transformational geometry. The student uses the process skills to understand the connections between algebra and geometry and uses the oneand twodimensional coordinate systems to
More informationBASIC GEOMETRY GLOSSARY
BASIC GEOMETRY GLOSSARY Acute angle An angle that measures between 0 and 90. Examples: Acute triangle A triangle in which each angle is an acute angle. Adjacent angles Two angles next to each other that
More information2006 Geometry Form A Page 1
2006 Geometry Form Page 1 1. he hypotenuse of a right triangle is 12" long, and one of the acute angles measures 30 degrees. he length of the shorter leg must be: () 4 3 inches () 6 3 inches () 5 inches
More informationUnit 3: Triangle Bisectors and Quadrilaterals
Unit 3: Triangle Bisectors and Quadrilaterals Unit Objectives Identify triangle bisectors Compare measurements of a triangle Utilize the triangle inequality theorem Classify Polygons Apply the properties
More information1) Perpendicular bisector 2) Angle bisector of a line segment
1) Perpendicular bisector 2) ngle bisector of a line segment 3) line parallel to a given line through a point not on the line by copying a corresponding angle. 1 line perpendicular to a given line through
More informationGeometry Review. Here are some formulas and concepts that you will need to review before working on the practice exam.
Geometry Review Here are some formulas and concepts that you will need to review before working on the practice eam. Triangles o Perimeter or the distance around the triangle is found by adding all of
More informationCONJECTURES  Discovering Geometry. Chapter 2
CONJECTURES  Discovering Geometry Chapter C1 Linear Pair Conjecture  If two angles form a linear pair, then the measures of the angles add up to 180. C Vertical Angles Conjecture  If two angles are
More informationSum of the interior angles of a nsided Polygon = (n2) 180
5.1 Interior angles of a polygon Sides 3 4 5 6 n Number of Triangles 1 Sum of interiorangles 180 Sum of the interior angles of a nsided Polygon = (n2) 180 What you need to know: How to use the formula
More informationGeometry Progress Ladder
Geometry Progress Ladder Maths Makes Sense Foundation Endofyear objectives page 2 Maths Makes Sense 1 2 Endofblock objectives page 3 Maths Makes Sense 3 4 Endofblock objectives page 4 Maths Makes
More informationAlgebra III. Lesson 33. Quadrilaterals Properties of Parallelograms Types of Parallelograms Conditions for Parallelograms  Trapezoids
Algebra III Lesson 33 Quadrilaterals Properties of Parallelograms Types of Parallelograms Conditions for Parallelograms  Trapezoids Quadrilaterals What is a quadrilateral? Quad means? 4 Lateral means?
More informationReview for Final  Geometry B
Review for Final  Geometry B Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A model is made of a car. The car is 4 meters long and the model is 7 centimeters
More informationGrade 3 Core Standard III Assessment
Grade 3 Core Standard III Assessment Geometry and Measurement Name: Date: 3.3.1 Identify right angles in twodimensional shapes and determine if angles are greater than or less than a right angle (obtuse
More informationSelected practice exam solutions (part 5, item 2) (MAT 360)
Selected practice exam solutions (part 5, item ) (MAT 360) Harder 8,91,9,94(smaller should be replaced by greater )95,103,109,140,160,(178,179,180,181 this is really one problem),188,193,194,195 8. On
More informationGeometry. Geometry is the study of shapes and sizes. The next few pages will review some basic geometry facts. Enjoy the short lesson on geometry.
Geometry Introduction: We live in a world of shapes and figures. Objects around us have length, width and height. They also occupy space. On the job, many times people make decision about what they know
More information1. A student followed the given steps below to complete a construction. Which type of construction is best represented by the steps given above?
1. A student followed the given steps below to complete a construction. Step 1: Place the compass on one endpoint of the line segment. Step 2: Extend the compass from the chosen endpoint so that the width
More informationWinter 2016 Math 213 Final Exam. Points Possible. Subtotal 100. Total 100
Winter 2016 Math 213 Final Exam Name Instructions: Show ALL work. Simplify wherever possible. Clearly indicate your final answer. Problem Number Points Possible Score 1 25 2 25 3 25 4 25 Subtotal 100 Extra
More informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Thursday, August 13, 2015 8:30 to 11:30 a.m., only.
GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Thursday, August 13, 2015 8:30 to 11:30 a.m., only Student Name: School Name: The possession or use of any communications
More informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY
GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Wednesday, June 20, 2012 9:15 a.m. to 12:15 p.m., only Student Name: School Name: Print your name and the name
More informationPolygons are figures created from segments that do not intersect at any points other than their endpoints.
Unit #5 Lesson #1: Polygons and Their Angles. Polygons are figures created from segments that do not intersect at any points other than their endpoints. A polygon is convex if all of the interior angles
More information2006 ACTM STATE GEOMETRY EXAM
2006 TM STT GOMTRY XM In each of the following you are to choose the best (most correct) answer and mark the corresponding letter on the answer sheet provided. The figures are not necessarily drawn to
More informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Thursday, January 24, 2013 9:15 a.m. to 12:15 p.m.
GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Thursday, January 24, 2013 9:15 a.m. to 12:15 p.m., only Student Name: School Name: The possession or use of any
More informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Thursday, January 26, 2012 9:15 a.m. to 12:15 p.m.
GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXMINTION GEOMETRY Thursday, January 26, 2012 9:15 a.m. to 12:15 p.m., only Student Name: School Name: Print your name and the name
More informationINDEX. Arc Addition Postulate,
# 3060 right triangle, 441442, 684 A Absolute value, 59 Acute angle, 77, 669 Acute triangle, 178 Addition Property of Equality, 86 Addition Property of Inequality, 258 Adjacent angle, 109, 669 Adjacent
More information1. What term describes a transformation that does not change a figure s size or shape?
1. What term describes a transformation that does not change a figure s size or shape? () similarity () isometry () collinearity (D) symmetry For questions 2 4, use the diagram showing parallelogram D.
More informationPERIMETER AND AREA. In this unit, we will develop and apply the formulas for the perimeter and area of various twodimensional figures.
PERIMETER AND AREA In this unit, we will develop and apply the formulas for the perimeter and area of various twodimensional figures. Perimeter Perimeter The perimeter of a polygon, denoted by P, is the
More informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Tuesday, August 13, 2013 8:30 to 11:30 a.m., only.
GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Tuesday, August 13, 2013 8:30 to 11:30 a.m., only Student Name: School Name: The possession or use of any communications
More informationUnit 6 Grade 7 Geometry
Unit 6 Grade 7 Geometry Lesson Outline BIG PICTURE Students will: investigate geometric properties of triangles, quadrilaterals, and prisms; develop an understanding of similarity and congruence. Day Lesson
More informationLine. A straight path that continues forever in both directions.
Geometry Vocabulary Line A straight path that continues forever in both directions. Endpoint A point that STOPS a line from continuing forever, it is a point at the end of a line segment or ray. Ray A
More informationA. 32 cu ft B. 49 cu ft C. 57 cu ft D. 1,145 cu ft. F. 96 sq in. G. 136 sq in. H. 192 sq in. J. 272 sq in. 5 in
7.5 The student will a) describe volume and surface area of cylinders; b) solve practical problems involving the volume and surface area of rectangular prisms and cylinders; and c) describe how changing
More informationGeometry Chapter 1 Vocabulary. coordinate  The real number that corresponds to a point on a line.
Chapter 1 Vocabulary coordinate  The real number that corresponds to a point on a line. point  Has no dimension. It is usually represented by a small dot. bisect  To divide into two congruent parts.
More informationConjectures. Chapter 2. Chapter 3
Conjectures Chapter 2 C1 Linear Pair Conjecture If two angles form a linear pair, then the measures of the angles add up to 180. (Lesson 2.5) C2 Vertical Angles Conjecture If two angles are vertical
More informationFinal Review Problems Geometry AC Name
Final Review Problems Geometry Name SI GEOMETRY N TRINGLES 1. The measure of the angles of a triangle are x, 2x+6 and 3x6. Find the measure of the angles. State the theorem(s) that support your equation.
More information/27 Intro to Geometry Review
/27 Intro to Geometry Review 1. An acute has a measure of. 2. A right has a measure of. 3. An obtuse has a measure of. 13. Two supplementary angles are in ratio 11:7. Find the measure of each. 14. In the
More information10.1: Areas of Parallelograms and Triangles
10.1: Areas of Parallelograms and Triangles Important Vocabulary: By the end of this lesson, you should be able to define these terms: Base of a Parallelogram, Altitude of a Parallelogram, Height of a
More informationHonors Geometry Final Exam Study Guide
20112012 Honors Geometry Final Exam Study Guide Multiple Choice Identify the choice that best completes the statement or answers the question. 1. In each pair of triangles, parts are congruent as marked.
More informationGeometry Vocabulary Booklet
Geometry Vocabulary Booklet Geometry Vocabulary Word Everyday Expression Example Acute An angle less than 90 degrees. Adjacent Lying next to each other. Array Numbers, letter or shapes arranged in a rectangular
More informationCalifornia Common Core State Standards Comparison FOURTH GRADE
1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others 4. Model with mathematics. Standards
More information3. If AC = 12, CD = 9 and BE = 3, find the area of trapezoid BCDE. (Mathcounts Handbooks)
EXERCISES: Triangles 1 1. The perimeter of an equilateral triangle is units. How many units are in the length 27 of one side? (Mathcounts Competitions) 2. In the figure shown, AC = 4, CE = 5, DE = 3, and
More informationJumpstarters for Geometry
Jumpstarters for Geometry Short Daily Warmups for the Classroom y Vicky ShiotSU COPYRIGHT 2007 Mark Twain Media, Inc. ISN 9781580373999 Printing No. CD404058 Mark Twain Media, Inc., Publishers Distributed
More informationGeometry, Final Review Packet
Name: Geometry, Final Review Packet I. Vocabulary match each word on the left to its definition on the right. Word Letter Definition Acute angle A. Meeting at a point Angle bisector B. An angle with a
More informationCh 3 Worksheets S15 KEY LEVEL 2 Name 3.1 Duplicating Segments and Angles [and Triangles]
h 3 Worksheets S15 KEY LEVEL 2 Name 3.1 Duplicating Segments and ngles [and Triangles] Warm up: Directions: Draw the following as accurately as possible. Pay attention to any problems you may be having.
More informationGEOMETRY CONCEPT MAP. Suggested Sequence:
CONCEPT MAP GEOMETRY August 2011 Suggested Sequence: 1. Tools of Geometry 2. Reasoning and Proof 3. Parallel and Perpendicular Lines 4. Congruent Triangles 5. Relationships Within Triangles 6. Polygons
More informationApplications for Triangles
Not drawn to scale Applications for Triangles 1. 36 in. 40 in. 33 in. 1188 in. 2 69 in. 2 138 in. 2 1440 in. 2 2. 188 in. 2 278 in. 2 322 in. 2 none of these Find the area of a parallelogram with the given
More information1. A person has 78 feet of fencing to make a rectangular garden. What dimensions will use all the fencing with the greatest area?
1. A person has 78 feet of fencing to make a rectangular garden. What dimensions will use all the fencing with the greatest area? (a) 20 ft x 19 ft (b) 21 ft x 18 ft (c) 22 ft x 17 ft 2. Which conditional
More informationArea of Parallelograms (pages 546 549)
A Area of Parallelograms (pages 546 549) A parallelogram is a quadrilateral with two pairs of parallel sides. The base is any one of the sides and the height is the shortest distance (the length of a perpendicular
More information39 Symmetry of Plane Figures
39 Symmetry of Plane Figures In this section, we are interested in the symmetric properties of plane figures. By a symmetry of a plane figure we mean a motion of the plane that moves the figure so that
More informationGeometry. Unit 6. Quadrilaterals. Unit 6
Geometry Quadrilaterals Properties of Polygons Formed by three or more consecutive segments. The segments form the sides of the polygon. Each side intersects two other sides at its endpoints. The intersections
More informationGeometry Enduring Understandings Students will understand 1. that all circles are similar.
High School  Circles Essential Questions: 1. Why are geometry and geometric figures relevant and important? 2. How can geometric ideas be communicated using a variety of representations? ******(i.e maps,
More informationOverview Mathematical Practices Congruence
Overview Mathematical Practices Congruence 1. Make sense of problems and persevere in Experiment with transformations in the plane. solving them. Understand congruence in terms of rigid motions. 2. Reason
More informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Wednesday, January 29, 2014 9:15 a.m. to 12:15 p.m.
GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Wednesday, January 29, 2014 9:15 a.m. to 12:15 p.m., only Student Name: School Name: The possession or use of any
More information(n = # of sides) One interior angle:
6.1 What is a Polygon? Regular Polygon Polygon Formulas: (n = # of sides) One interior angle: 180(n 2) n Sum of the interior angles of a polygon = 180 (n  2) Sum of the exterior angles of a polygon =
More informationGeometry of 2D Shapes
Name: Geometry of 2D Shapes Answer these questions in your class workbook: 1. Give the definitions of each of the following shapes and draw an example of each one: a) equilateral triangle b) isosceles
More informationM 1312 Section Trapezoids
M 1312 Section 4.4 1 Trapezoids Definition: trapezoid is a quadrilateral with exactly two parallel sides. Parts of a trapezoid: Base Leg Leg Leg Base Base Base Leg Isosceles Trapezoid: Every trapezoid
More informationSection 12.1 Translations and Rotations
Section 12.1 Translations and Rotations Any rigid motion that preserves length or distance is an isometry (meaning equal measure ). In this section, we will investigate two types of isometries: translations
More informationA factor is a whole number that. Name 6 different quadrilaterals. The radius of a circle. What is an axis or a line of symmetry in a 2D shape?
BOND HOW TO DO 11+ MATHS MATHS FACTS CARDS 1 2 3 4 A factor is a whole number that Name 6 different quadrilaterals. The radius of a circle is What is an axis or a line of symmetry in a 2D shape? 5 6 7
More information100 Math Facts 6 th Grade
100 Math Facts 6 th Grade Name 1. SUM: What is the answer to an addition problem called? (N. 2.1) 2. DIFFERENCE: What is the answer to a subtraction problem called? (N. 2.1) 3. PRODUCT: What is the answer
More informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Student Name:
GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Thursday, June 17, 2010 1:15 to 4:15 p.m., only Student Name: School Name: Print your name and the name of your
More informationII. Geometry and Measurement
II. Geometry and Measurement The Praxis II Middle School Content Examination emphasizes your ability to apply mathematical procedures and algorithms to solve a variety of problems that span multiple mathematics
More informationGeometry 81 Angles of Polygons
. Sum of Measures of Interior ngles Geometry 81 ngles of Polygons 1. Interior angles  The sum of the measures of the angles of each polygon can be found by adding the measures of the angles of a triangle.
More informationNCERT. In examples 1 and 2, write the correct answer from the given four options.
MTHEMTIS UNIT 2 GEOMETRY () Main oncepts and Results line segment corresponds to the shortest distance between two points. The line segment joining points and is denoted as or as. ray with initial point
More informationThe Triangle and its Properties
THE TRINGLE ND ITS PROPERTIES 113 The Triangle and its Properties Chapter 6 6.1 INTRODUCTION triangle, you have seen, is a simple closed curve made of three line segments. It has three vertices, three
More informationCircle Theorems. Angles at the circumference are equal. The angle in a semicircle is x The angle at the centre. Cyclic Quadrilateral
The angle in a semicircle is 90 0 Angles at the circumference are equal. A B They must come from the same arc. Look out for a diameter. 2x Cyclic Quadrilateral Opposite angles add up to 180 0 A They must
More informationUnit 3 Practice Test. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.
Name: lass: ate: I: Unit 3 Practice Test Multiple hoice Identify the choice that best completes the statement or answers the question. The radius, diameter, or circumference of a circle is given. Find
More informationGeometry EOC Practice Test #3
Class: Date: Geometry EOC Practice Test #3 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which regular polyhedron has 12 petagonal faces? a. dodecahedron
More informationof surface, 569571, 576577, 578581 of triangle, 548 Associative Property of addition, 12, 331 of multiplication, 18, 433
Absolute Value and arithmetic, 730733 defined, 730 Acute angle, 477 Acute triangle, 497 Addend, 12 Addition associative property of, (see Commutative Property) carrying in, 11, 92 commutative property
More information2 feet Opposite sides of a rectangle are equal. All sides of a square are equal. 2 X 3 = 6 meters = 18 meters
GEOMETRY Vocabulary 1. Adjacent: Next to each other. Side by side. 2. Angle: A figure formed by two straight line sides that have a common end point. A. Acute angle: Angle that is less than 90 degree.
More informationArea. Area Overview. Define: Area:
Define: Area: Area Overview Kite: Parallelogram: Rectangle: Rhombus: Square: Trapezoid: Postulates/Theorems: Every closed region has an area. If closed figures are congruent, then their areas are equal.
More information2nd Semester Geometry Final Exam Review
Class: Date: 2nd Semester Geometry Final Exam Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. The owner of an amusement park created a circular
More information1.7 Find Perimeter, Circumference,
.7 Find Perimeter, Circumference, and rea Goal p Find dimensions of polygons. Your Notes FORMULS FOR PERIMETER P, RE, ND CIRCUMFERENCE C Square Rectangle side length s length l and width w P 5 P 5 s 5
More informationGCSE Maths Linear Higher Tier Grade Descriptors
GSE Maths Linear Higher Tier escriptors Fractions /* Find one quantity as a fraction of another Solve problems involving fractions dd and subtract fractions dd and subtract mixed numbers Multiply and divide
More informationHigher Geometry Problems
Higher Geometry Problems ( Look up Eucidean Geometry on Wikipedia, and write down the English translation given of each of the first four postulates of Euclid. Rewrite each postulate as a clear statement
More informationGEOMETRY (Common Core)
GEOMETRY (COMMON CORE) The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY (Common Core) Wednesday, August 12, 2015 8:30 to 11:30 a.m., only Student Name: School Name: The
More information