Geometry Unit 5 Review Show all work and follow the criteria for credit.
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1 ompetency 1: Identify ongruence For questions 1 5, decide which congruence postulate, if any, you can use to prove that the given triangles are congruent. rite the congruence statement and identify the postulate F. N M 5. N 6cm M 6cm P S T L MN ST ompetency : ongruence of Triangles. P 6. Given the diagram below: N Q M O P PQ hich corresponding parts need to be congruent in order to prove OP NOM by S? a. MO PO b. N c. NOM OP d. NO O evised 10/17/010 page 1 of 6 Printed 10/18/010
2 7. Given the following diagram. ompetency : ompleting Proofs omplete the proofs by proving the missing statements or reasons. Make sure to mark the diagrams with the given information. hich corresponding parts need to be congruent in order to prove by SS? a. b. c. d. 8. Given the diagram below. If, which congruence postulate/theorem justifies F? a. SSS b. SS c. S d. S d. HL 9. Given the diagram below. V F If V, which congruence postulate/theorem justifies V? a. SSS b. SS b. S d. S e. HL 10. Given:, Prove: Statement eason Given.... S 11. Given:, Prove: 1 Statement eason Given. 4. If lines are, they form right angles.. eflexive Property 4., 4.efinition of are right s a right HL Theorem evised 10/17/010 page of 6 Printed 10/18/010
3 1. Given: II and Prove: Statements easons If lines are parallel, then alternate interior angles are.. S. II. Given eflexive Property Given 1. Given: V V and V is the midpoint of. Prove: V V Statements easons 1. V is the midpoint 1. Given of. V V. SS. V V. efinition of Midpoint 4. V V 4. efinition of Vertical angles 5. V V 5. Given V hich of the following choices puts the statements and reasons in a correct order? a., 4, 1, 5, b., 4,, 1, 5 c., 5, 1, 4, d., 5, 4,, 1 hich of the following choices puts the statements and reasons in a correct order? a. 5, 1,, 4, b., 4, 5, 1, c., 4, 1, 5, d. 5, 4,, 1, evised 10/17/010 page of 6 Printed 10/18/010
4 14. Given: S is the midpoint of TV and T V Prove: ST SV 16. hat is the slope of the line perpendicular to the graph of 5x - y = 0? T Statements S V easons 1. S is the midpoint 1. Given of TV. T V. Given. S S. eflexive Property 4. VS TS 4. efinition of Midpoint 5. ST SV 5. SS hich reason in the above proof is incorrect? hat is the correct reason? ompetency 4: Geometry istributed Practice 15. Given the diagram below and a b 17. Given the diagram below: J I G K H F hat two lines are skew to G? 18. rite the equation of a line that has a y-intercept of and is parallel to the graph of y = x. 18. rite the equation of a line that has a y-intercept of and is perpendicular to the graph of y = x. 1 b a 19. Is the following argument valid or invalid? If it s invalid, provide a counterexample. If the m 1= ( x 60) o and m = ( x + 0) o, then what is the m 1 and m? If today is Friday, I m eating fish for dinner. I am eating fish. Therefore, today is Friday. evised 10/17/010 page 4 of 6 Printed 10/18/010
5 ompetency 5: lgebra istributed Practice 0. Given the following equation: -17x + 5 = -15x 1 hat is the value of the variable?. Given the following proportion: 1 7 = r + 4 r hat is the value of the variable? 1. Given the following equation: -5(a 4) = -(a + 1) hat is the value of the variable? 4. hat is the distance between (-, -7) and (-7, -)? Give both an exact answer and an estimated answer to the nearest tenth. istance formula d =. Given the following proportion: 5 x = 0 1 hat is the value of the variable? evised 10/17/010 page 5 of 6 Printed 10/18/010
6 nswers: 1. F Not possible. ST NML SSS. PQ SS 4. S 5. MNO MPO HL 15. x = 45, m 1= 75, m = m = Two answers JK, IH, K, FH y = x y = x 19. Invalid. I could be eating fish on Tuesday as well as Friday. The logical order is wrong lternate Interior ngles are congruent. 0. x = 9 1. a = 8. x =. r = PT #5, SSS evised 10/17/010 page 6 of 6 Printed 10/18/010
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