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1 2 3 4 5 6 7 8 9. 10. 11. 12 Geometry Triangle Congruence Test Review Name__________________________ Tell which of the following triangles provide enough information to show that they must be congruent. If they are congruent, state which theorem suggests they are congruent (SAS, ASA, SSS, AAS, HL) and write a congruence statement. SSS SAS ASA AAS HL Not Enough Informati on Circle one of the following: Congruence Statement if necessary: SSS SAS ASA AAS HL Not Enough Informati on Circle one of the following: Congruence Statement if necessary: SSS SAS ASA AAS HL Not Enough Informati on Circle one of the following: Congruence Statement if necessary: SSS SAS ASA AAS HL Not Enough Informati on Circle one of the following: Congruence Statement if necessary: SSS SAS ASA AAS HL Not Enough Informati on Circle one of the following: Congruence Statement if necessary: SSS SAS ASA AAS HL Not Enough Informati on Circle one of the following: Congruence Statement if necessary: SSS SAS ASA AAS HL Not Enough Informati on Circle one of the following: Congruence Statement if necessary: SSS SAS ASA AAS HL Not Enough Informati on Circle one of the following: Congruence Statement if necessary: SSS SAS ASA AAS HL Not Enough Informati on Circle one of the following: Congruence Statement if necessary: SSS SAS ASA AAS HL Not Enough Informati on Circle one of the following: Congruence Statement if necessary: SSS SAS ASA AAS HL Not Enough Informati on Circle one of the following: Congruence Statement if necessary: SSS SAS ASA AAS HL Not Enough Informati on Circle one of the following: Congruence Statement if necessary:

Transcript of poly/zeros€¦  · Web viewHeide G. Wiegel Created Date: 09/07/2019 08:58:00 Title: poly/zeros...

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1. 2. 3.

4. 5. 6.

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Geometry Triangle Congruence Test Review Name__________________________Tell which of the following triangles provide enough information to show that they must be congruent. If they are congruent, state which theorem suggests they are congruent (SAS, ASA, SSS, AAS, HL) and write a congruence statement.

Congruence Statement if necessary:

Circle one of the following: Not EnoughInformationSSS SAS ASA AAS HL

Congruence Statement if necessary:

Circle one of the following: Not EnoughInformationSSS SAS ASA AAS HL

Congruence Statement if necessary:

Circle one of the following: Not EnoughInformationSSS SAS ASA AAS HL

Congruence Statement if necessary:

Circle one of the following: Not EnoughInformationSSS SAS ASA AAS HL

Congruence Statement if necessary:

Circle one of the following: Not EnoughInformationSSS SAS ASA AAS HL

Congruence Statement if necessary:

Circle one of the following: Not EnoughInformationSSS SAS ASA AAS HL

Congruence Statement if necessary:

Circle one of the following: Not EnoughInformationSSS SAS ASA AAS HL

Congruence Statement if necessary:

Circle one of the following: Not EnoughInformationSSS SAS ASA AAS HL

Congruence Statement if necessary:

Circle one of the following: Not EnoughInformationSSS SAS ASA AAS HL

Congruence Statement if necessary:

Circle one of the following: Not EnoughInformationSSS SAS ASA AAS HL

Congruence Statement if necessary:

Circle one of the following: Not EnoughInformationSSS SAS ASA AAS HL

Congruence Statement if necessary:

Circle one of the following: Not EnoughInformationSSS SAS ASA AAS HL

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Determine if there is enough information given to prove that the two triangles are congruent.13. Enough information? _____ 14. Enough information? _____ Theorem (if congruent): _____ Theorem (if congruent): _____

15.

16. Prove that the following triangles are congruent by filling in the missing blanks:

a. Given CB≅ AD and CB∥ AD Statements Reasons

1. CB≅ AD

2. CB∥ AD

3. ∡CBD≅∡ ADB ∡DBA≅∡BDC

4. BD≅ BD

5. ∆ BCD≅ ∆ DAB

4 cm

4 cm

6 cm

mJIH = 50°mHJI = 79°

mBCD = 50°mDBC = 79°

J

HB

C

D

I

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b. Given PL≅YL and Point A is the midpoint of PY

c. Given ∡MAH and ∡HTM are right angles and MA≅ TH

Statements Reasons

1. Given

2. Given

3. Definition of Midpoint

4. Reflexive property of congruence

5. SSS

Statements Reasons1. ∡MAH &

∡HTM are right angles

2. MA≅ TH

3. MH ≅ MH

4. ∆ MAH ≅ ∆ HTM

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17. 18.

19. 20.

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22.21.

23.

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24. Fill in the correct statements above for Statements #3 & 4 using the choices below.

∆ ABX ≅ ∆ ACX BX ≅CX AB≅ AC AB≅ AC

25. Choose the correct reason for reason #5 in the proof above.

A. Symmetric Property of Congruence B. Transitive Property of Congruence

C. Definition of Bisector D. Reflexive Property of Congruence

26. Fill in the correct reasons for #6 & #7 using the choices below.

CPCTC (Corresponding parts of congruent triangles are congruent)

Prove SAS SSS ASA HL

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33.

34. ∆DEF is an isosceles triangle. The base angles are ∠D and ∠F. If m∠D =(3x +

5)°,

m∠E = (x – 5)°, and m∠F = (x + 55)°, then find the measure of angle D.

35.

36. Find PN.