ExamView - Review Congruent Triangles.tst

Name: ________________________ Class: ___________________ Date: __________

ID: A

Geometry Review Triangles Types & Relationships 4. Triangles ABC and AFD are vertical congruent equilateral triangles. Find x and y.

1. Identify the congruent triangles and name their corresponding congruent angles and sides.

__________ __________ __________

__________ __________ __________

2. If DABC @ DMXR, what is x?

a.

x = 7, y = 27

b.

x = 3 , y = 27

c.

x = 3 , y = 28

7 7

x = 7, y = 33 5. Sketch a counterexample for AAA proving triangles congruent. d.

. x = ______ 6. Sketch a counterexample for SSA proving triangles congruent.

3. If DTRI @ DPOD, what is mÐT =

____________

.

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7. Use the given information to mark the picture.

9. Use the given information to mark the picture.

Given: R is the midpoint of SU ; SV @ UV .

Given: AB @ DC ; BQ @ CP; PD @ QA

Complete the congruence statement Complete the congruence statement

ABQ @ __________

DRSV @ __________ State the reason: _________ State the reason: _________

10. Use the given information to mark the picture.

8. Use the given information to mark the picture.

Given: PS ^PQ,andSR^RQ

Given: RV bisects ÐSVU ; RV ^ SU .

ÐPSQ @ ÐRQS

Complete the congruence statement Complete the congruence statement

DRSV @ __________

PSQ @ __________

State the reason: _________

State the reason: _________

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11. Use the given information to mark the picture.

13. Use the given information to mark the picture.

Given: RS bisects QT ; ÐR @ ÐS .

Given: RT ^US;RU @ RS

Complete the congruence statement

Complete the congruence statement

DQRP @ __________

DURT @ __________

State the reason: _________

State the reason: _________ 14. Use the given information to mark the picture.

12. Use the given information to mark the picture.

Given: BC @ FC and ÐABC @ ÐDFC

Given: M is the midpoint of LN ; MP @ MO; ON ^NM ; PL^LM

Complete the congruence statement Complete the congruence statement

DABC @ __________

DNMO @ __________

State the reason: _________

State the reason: _________

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15. Given: T is the midpoint of US . What parts must be congruent to prove the triangles congruent by SAS? ____________________

16. Given: C is the mid point of BF; ÐABC and ÐGFC are right angles. What is needed to prove ABC @ GFC by SAS? _______________________

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ID: A

Geometry Review Triangles Types & Relationships Answer Section 1. 2. 3. 4.

ÐD @ ÐB,ÐF @ ÐA,ÐG @ ÐC,DG @ BC ,GF @ CA,DF @ BA x= x A

5.

6. 7. 8. 9. 10. 11. 12. 13. 14. 15.

Prove: DRSV @ DRUV by SSS DRSV @ DRUV by asa Prove: ABQ @ DCP by SSS AAS DQRP @ DTSP by the AAS Theorem. Prove: DNMO @ DLMP by HL HL Prove: ABC @ DFC by ASA
16. AB @ GF

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