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- 1. Multiple Choice
Tell why the two triangles are congruent. Give the congruence statement. Then list all other corresponding parts of the triangles that are congruent.
The two triangles are not congruent.
- 2. Multiple Choice
- 3. Multiple Choice
Find the values of X and Y.
- 4. Multiple Choice
114
1
36
63
- 5. Multiple Choice
Are the two triangles congruent? If so, write the congruence statement.
Yes,
ΔPQR≅ΔSUT
by the HL theorem.
Yes,
ΔPQR≅ΔUTS
by the HL theorem.
Yes,
ΔPQR≅ΔUST
by the HL theorem.
Yes,
ΔPQR≅ΔSTU
by the HL theorem.
No, the triangles are not congruent.
- 6. Multiple Choice
The triangles ΔCDE and ΔDCF are congruent. Identify their common side or angle.
Side CD
Side DF
Side DE
Side FG
- 7. Multiple Choice
On this national flag, the indicated segments and angles are congruent. First, consider ΔJKN and ΔMLN. The two triangles are congruent by which of the following properties? Since ΔJKN≅ΔMLN, their corresponding parts are congruent. Namely, side KN is congruent to side ___. Why is N the midpoint of KL?
ASA property.
LN.
N divides de side KL into two segments of equal length.
AAS property.
LN.
N divides de side KL into two segments of equal length.
SSS property.
LN.
N divides de side KL into two segments of equal length.
SAS property.
LN.
N divides de side KL into two segments of equal length.
- 8. Multiple Choice
J is the midpoint of both side IK and side GH. Why are ΔIJG and ΔKJH congruent?
ASA property
SAS property
SSS property
- 9. Multiple Choice
Identify any common angles or sides.
ΔRBF and ΔBRP
Side RB
Side RA
Side RF
Side FA
- 10. Multiple Choice
Write a congruence statement for the pair of triangles. Name the postulate or theorem that justifies your statement.
△AWC ≅ △CRW by ASA.
△AWC ≅ △RCW by AAS.
△AWC ≅ △WCR by SAS.
△AWC ≅ △RWC by ASA.
- 11. Multiple Choice
Which postulate or theorem, if any, could you use to prove △DBE ≅ △FCE congruent? If not enough information is given, choose not enough information.
SAS
AAS
ASA
not enough information
- 12. Multiple Choice
The two triangles are congruent as suggested by their appearance. Find the value of c.
63
5
4
3
- 13. Multiple Choice
Name the corresponding parts of the congruent triangles.
The two triangles are not congruent
- 14. Multiple Choice
What other information, if any, do you need to prove the two triangles congruent by SAS? Explain.
GT≅NQ
is needed because the congruent angles need to be included between two corresponding congruent sides.
GL≅NM
and
GT≅NQ
are both needed because all three corresponding sides must be congruent.
GL≅NM
is needed because the congruent angles need to be included between two corresponding congruent sides.
No additional information is needed to prove the triangles congruent by SAS.
- 15. Multiple Choice
Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove the triangles by SSS or SAS, write "not enough information". Explain your answer.
ΔARO≅ΔKEF,
SAS
ΔARO≅ΔKEF,
SSS
The two triangles are not necessarily congruent. There is not enough information.
- 16. Multiple Choice
Name two triangles that are congruent by ASA.
- 17. Multiple Choice
Determine whether the triangles must be congruent. If so, name the postulate or theorem that best justifies your answer. If not, explain.
The triangles are congruent by SAS.
The triangles are congruent by
AAS.
The triangles are congruent by
SSS.
The triangles are congruent by
ASA.
The triangles are not congruent.
- 18. Multiple Choice
Complete the congruence statement.
∠PMN ≅ ?
∠CBA
∠CAB
∠ABC
∠ACB
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