Practice TEST Unit 3: Congruence

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1 Geometry Practice Test Unit 3 ongruence (G.O.B.6 - G.O..9) Name: Date: Pd: 1) Isometric transformations preserve key characteristics of a shape. Which of the following transformations is NOT an isometry? (multiple choice) A) Reflection ) Dilation B) Rotation D) Translation 2) If Quadrilateral ABD is congruent to Quadrilateral EFGH, write congruence statements for all corresponding parts. 3) Determine if the following rules could represent a transformation that mapped one shape to another to establish their congruence: K xy, x 3,3y Yes / No a) ( ) ( ) b) K( xy, ) ( yx, 2) c) K( xy, ) ( 4 x,4y) d) K( xy, ) ( x 1, y 4) e) K( xy, ) ( 2 y 1, x 1) + Yes / No Yes / No Yes / No + Yes / No 4) ongruent polygons: a) have congruent corresponding side lengths. T / F b) can be mapped one onto the other using isometric transformations. T / F c) cannot be called similar. T / F d) have a 1 to 1 proportional relationship. T / F e) have congruent corresponding angle measures. T / F 5) For each of the following transformations: I. Name the transformation type. II. State whether it is an isometry. a) b) G Y P D H L G c) d) F S P T H A O T D B B F D R V E G G Y L P SNRPDP Practice TEST Unit 3: ongruence NVAS Revised Page 1 of 10

2 6) Determine if each of the following is a criterion for proving two triangles congruent. a) AAS Yes / No b) SAS Yes / No c) SSA Yes / No d) AAA Yes / No e) SSS Yes / No f) ASA Yes / No g) What is the name of the triangle congruence criterion that is only used in right triangles? 7) A portion of a bridge is shown at the left. I. Is it possible to determine m GBH? If so, how? If not, why not? II. ABG BH HGB Yes / No, A student claims that B is the midpoint of A. Do you agree? Explain. Yes / No, 8) Name the angle pair relationship between the indicated angles. a) DB & AB b) BD & AE c) BF & BE d) BA & FD B A F E D 9) If m 2 = 127, then the m 1 =? (multiple choice) A) 53 B) 63 1 ) 127 D) ) If m 1 = 119, then: (multiple choice) A) m 2 = 119 B) m 3 = 61 ) m 4 = 119 D) m 5 = n Page 2 of 10

3 11) Write a rule that would establish that these two polygons are congruent to each other? a) T AB A' B ' ' ( ) ( ) (, ) (, ) T xy b) ( ) ( B ' ' D ') (, ) R, ( xy, ) T ABD T xy or (, ) R, ( xy, ) T xy A D D B B c) ( ) ( Q ' QA' D ') (, ) (, ) T QUAD T xy Page 3 of 10

4 12) What are the corresponding parts of the figures below? Select all that apply. (multiple answers) A) E U B) F V ) E V D) F XU 13) The given pairs of polygons are congruent. omplete the congruence statements: a) JKL b b) PNO Page 4 of 10

5 c) LMNO 14) Are the following pairs of triangles congruent? If they are, then name their congruence criteria. (SSS, SAS, ASA, AAS, HL or none) a) g) b) h) c) i) d) j) e) k) f) l) Yes / No Page 5 of 10

6 15) Label the diagram & complete: GIVEN: AB D & AD B PROVE: DABD D BD STATEMENTS REASONS 16) Label the diagram & complete: GIVEN: GH JK & GH JK PROVE: HGJ KJG STATEMENTS REASONS 17) LM NO. PQ LM and PQ NO. a) Name the complementary angles b) Identify ONE pair of supplementary angles c) Identify a pair of vertical angles 18) Four transformations can be performed on a given diagram; given one angle as a starting position, write the name of the final position after the transformation(s) is performed. (A) (B) () (D) R 1 2 A,180 R B,180 R T,180 B Starting Position Transformation(s) Performed Final Position a) 2 B? b) 1 D? c) 4 A? d) 8 A? e) 5 A then B? f) 8 then D? B 4 3 A Page 6 of 10

19) Angle Review: Angles Location Word Measure Word a) AE and BED are therefore they are b) AED and BED are therefore they are c) Given the diagram at right, find the value of x and each angle

7 19) Angle Review: Angles Location Word Measure Word a) AE and BED are therefore they are b) AED and BED are therefore they are c) Given the diagram at right, find the value of x and each angle measure. x = d) m AE = e) m EB = f) m BED = g) m AED = h) Given: A. BD BE. m DB = 44. Find each missing angle. m DBE = m BE = m ABD = m ABE = i) Find the value of x. 30 x j) If two parallel lines are cut by a transversal and the m 2 = 60, find the measure of each of the other seven angles in the following diagram. m 5 = m 1 = m 2 =60 m 3 = m 4 = m 6 = m 7 = m 8 = Angles Location Word Measure Word k) 1& 2 are therefore they are l) 1& 4 are therefore they are m) 3& 6 are therefore they are n) 2& 6 are therefore they are o) 2& 6 are therefore they are Page 7 of 10

8 20) Vocabulary: True or False a) Two angles whose sum is are said to be complementary. b) An angle that measures 120 o is obtuse. c) An angle that measures 200 o is a reflex angle. d) Two supplementary angles are always a linear pair. e) Rays are part of a line that extends from one point indefinitely in one direction. f) A straight angle and a linear pair are the same thing. g) Parallel Lines intersect forming right angles. 21) John and Joseph are playing miniature golf. John says the he read how to use reflections to help make a hole-in-one on most miniature golf holes. Describe and sketch how he should putt the ball to make a hole-in-one. Page 8 of 10

9 ANSWER SHEET 1) 2),,,, 3) a) Yes / No b) Yes / No c) Yes / No d) Yes / No e) Yes / No 4) a) T / F b) T / F c) T / F d) T / F e) T / F 5) a), Yes / No b), Yes / No c), Yes / No d), Yes / No 6) a) Yes / No b) Yes / No c) Yes / No d) Yes / No e) Yes / No f) Yes / No g) 7) I. Yes / No, II. Yes / No, 8) a) b) c) d) 9) 11) a) T( xy, ) (, ) b) T( xy, ) R, ( xy, ) T( xy, ) R, ( xy, ) c) T( xy, ) (, ) 12) A / B / / D 13) a) JKL b) PNO c) LMNO 14) a) Yes / No, b) Yes / No, c) Yes / No, d) Yes / No, e) Yes / No, f) Yes / No, g) Yes / No, h) Yes / No, i) Yes / No, j) Yes / No, k) Yes / No, l) Yes / No, 15) STATEMENTS REASONS 10) Page 9 of 10

10 16) 17) 18) 19) STATEMENTS a) b) c) a) b) c) d) e) f) a), b), c) x = d) m AE = e) m EB = f) m BED = g) m AED = h) m DBE = m BE = m ABD = m ABE = i) x = REASONS j) m 1 = m 2 =60 m 3 = m 4 = k), l), m), n), o), m 5 = m 6 = m 7 = m 8 = 20) a) T / F b) T / F c) T / F d) T / F e) T / F f) T / F g) T / F 21) Page 10 of 10

Geometry First Semester Exam Review

Geometry First Semester Exam Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Name three points that are collinear. a. points T, Q, and R c. points