Download ASA and AAS Triangle Congruency Homework Is it possible

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ASA and AAS Triangle Congruency Homework
Is it possible to prove that the triangles are congruent? If so, state the postulate or theorem you would
use.
1.
2.
3.
Congruent? _____
Congruent? _____
Congruent? _____
If yes, state reason:______
If yes, state reason:______
If yes, state reason:______
State the third congruence that is needed to prove that ∆DEF ≅ ∆ABC using the given postulate or
theorem.
4. GIVEN: DE ≅ AB , ∠D ≅ ∠A. ______ ≅ ______ Use the AAS Congruence Theorem.
5. GIVEN: FE ≅ CB , ∠F ≅ ∠C. ______ ≅ ______ Use the ASA Congruence Postulate.
6. GIVEN: DF ≅ AC , ∠F ≅ ∠C. ______ ≅ ______ Use the SAS Congruence Theorem.
State the third congruence that is needed to prove that ∆ABC ≅ ∆XYZ >.using the given postulate or
theorem.
7. GIVEN: ∠C ≅ ∠Z, AC ≅ XZ ______ ≅ ______ Use the AAS Congruence Theorem.
8. GIVEN: ∠B ≅ ∠Y, AB ≅ XY , ______ ≅ ______ Use the ASA Congruence Postulate.
9. GIVEN: BC ≅ YZ . ∠B ≅ ∠Y. ______ ≅ ______ Use the SAS Congruence Theorem.
State the third congruence that is needed to prove that ∆DEF= ∆MNO using the given postulate or
theorem.
10. GIVEN: DE ≅ MN ,∠M ≅ ∠D, ______ ≅ ______ Use the SAS Congruence Postulate.
11.GIVEN: FE ≅ ON ,∠F ≅ ∠O, ______ ≅ ______ Use the AAS Congruence Theorem.
12.GIVEN: DF ≅ MO ,∠F ≅ ∠O, ______ ≅ ______ Use the ASA Congruence Postulate.
Draw and label triangles to illustrate the given information. Then tell whether you can use the given
information to determine whether ∆JKL ≅ ∆RST. If the triangles are congruent, give a reason.
13. ∠J ≅ ∠R, ∠K ≅ ∠S, ∠L ≅ ∠T
Congruent?_____
If yes,reason:_____
14. ∠K ≅ ∠S, ∠L ≅ ∠M , KL ≅ ST
Congruent?_____
If yes,reason:_____
15. JM ≅XZ , ∠M ≅ ∠Z, ∠R ≅ ∠Y
Congruent?_____
If yes,reason:_____
JM ≅ XZ , JR ≅ XY , ∠J ≅ ∠X
Congruent?_____
If yes,reason:_____
17. ∠J ≅ ∠X, ∠M ≅ ∠Z, ∠R ≅ ∠Y
Congruent?_____
If yes,reason:_____
16.
18. Multiple Choice Which postulate or theorem can you use to prove that
∆ABC ≅ ∆DEF?
A. AAS
B. SA
C. SAS
D. Not enough information
Explain how you can prove that the indicated triangles are congruent using the given postulate or
theorem. (State the appropriate side or angle.)
19. ∆ABE ≅ ∆CDE by SAS
Sides:_____
20. ∆ABE ≅ ∆CDE by ASA
Angles:_____ Sides:_____ Angles:_____
21. ∆ABE ≅ ∆CDE by AAS
Angles:_____ Angles:_____ Sides:_____
Angles:_____ Sides:_____
GIVEN:VW ≅ XY ,WX ≅ YV
PROVE: ∆WXV ≅ ∆AYVX
Statements
1. VW ≅ XY
Reasons
1.
2. WX ≅ YV
2.
3. VX ≅ VX
3.
4. ∆VWX ≅ ∆XYV
4.
5. ∆WXV ≅ ∆YVX
5.
19. Proof Write a proof.
GIVEN: BE ≅ BC , ∠A ≅ ∠D
PROVE: ∆ABE ≅ ∆DBC
17. Proof Complete the proof.
GIVEN: WU || YV, XU || ZV, WX ≅ YZ
PROVE: ∆WXU ≅ ∆YZV
Statements
1. WU ||YV
2. ∠UWX ≅ ∠VYZ
3. XU || ZV
4. ∠UWX ≅ ∠VZY
Reasons
1.
2.
3.
4.
5. WX || YZ
5.
6. ∆UWX ≅ ∆YZV
6.