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Chapter 5 TEST REVIEW

I. Two-Column Proofs: Statements and Reasons all numbers. Correct notation too.1. Given: OG1GE; UR1RL; GE = RU; OE = LU

Prove: OG s RL

2. Given: BF = ON;BF//ONProve:

3. Given: AR±RP; TS1SR; R is the midpoint of PS ; AR == TS

7. 9

4. Given: ET//HY;ET = HY

Prove: A is the midpoint of TY

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II. Name the theorem or postulate that justifies the following pairs of triangles are congruent. If thereis not enough information, write none. Be sure to mark all missing information you used properly.

5. 6. 7. SAS

>. AAlf ;

10.

III. Write the congruent statements and how the triangles are congruent, if they are congruent.l l .ZG = ZW, M A s H O , Z M s Z H

= ZW,ZM-ZH,ZAsZO

M

, GA = WO, GM = WH

14.ZM = ZH, ZA = ZO, MA = HOG W

H

0

15. GM = WH , MA1AG , MA s HO , HOI WO \A = ZO, MA = HO , GA = WO

IV. Given that AHIT = ATOP, write an equation and solve for x in each of the following. SHOWYOUR WORK!!

17.HT = 2x + 10, TP = 4x + 6, TO = 6x - 6

18.IT = 4x + 20, OT = 6x, IH = 2x + 44

V. Short Answer.19. mZ A = mZ B , AB = 5x + 9, BC = 3x + 15 and AC = 7x - 35

AB - "7 I ,S

20. mZ H =

H y. —Perimeter = 1 ""*!?.

H OO

O

VI. Always (A), Sometimes (S) or Never (N):23. -rT An equiangular triangle is isosceles, equilateral and acute.24. S A scalene triangle is a right triangle.

-^25. /*- The sum of the measures of the exterior angles of a triangle is 360 degrees.26. f\n equilateral triangle is isosceles.27. ]Kj An isosceles triangle is scalene.28. An equilateral triangle is a right triangle.29. CPCTC is used after triangles are congruent30. A CPCTC stands for Corresponding parts of congruent triangles are corresponding

VII. Free Response31. Find the value(s) of x

32. An equilateral trianglehas an angle measure~oFx2 + 20 and a side length of 2x2. Find the length of oneside.

433. Given a rectangle with 3 of the 4 coordinates (0,0) (a^O) and (0,b).Draw a graph, label points, and show all work!!!!! (c I?

a) Find the 4th coordinate

b) Find the length of the diagonal.

34. List and explain all the waysTo^fovelnarigles congruent as well as all the ways that DO NOT work.

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