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- 1. Multiple-choice5 minutes1 pt
Tell why the two triangles are congruent. Give the congruence statement. Then list all other corresponding parts of the triangles that are congruent.
AAS. Angles: Sides:
SAS. Angles: Sides:
SSS. Angles: Sides:
The two triangles are not congruent.
- 2. Multiple-choice5 minutes1 pt
Complete the statement. Explain why is it true.
because if two angles are​ congruent, then the sides connecting those angles are congruent.
because if two angles are​ congruent, then the sides opposite those angles are congruent.
because if two angles are​ congruent, then the sides connecting those angles are congruent.
≅UT
because if two angles are​congruent, then the sides opposite those angles are congruent.
- 3. Multiple-choice5 minutes1 pt
Find the values of X and Y.
- 4. Multiple-choice5 minutes1 pt
An equilateral triangle and an isosceles triangle share a common side. What is the measure of ?
114
1
36
63
- 5. Multiple-choice5 minutes1 pt
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-choice5 minutes1 pt
The triangles ΔCDE and ΔDCF are congruent. Identify their common side or angle.
Side CD
Side DF
Side DE
Side FG
- 7. Multiple-choice5 minutes1 pt
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-choice5 minutes1 pt
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-choice5 minutes1 pt
Identify any common angles or sides.
ΔRBF and ΔBRP
Side RB
Side RA
Side RF
Side FA
- 10. Multiple-choice5 minutes1 pt
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-choice5 minutes1 pt
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-choice5 minutes1 pt
The two triangles are congruent as suggested by their appearance. Find the value of c.
63
5
4
3
- 13. Multiple-choice5 minutes1 pt
Name the corresponding parts of the congruent triangles.
Angles:
Sides:
The two triangles are not congruent
- 14. Multiple-choice5 minutes1 pt
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-choice5 minutes1 pt
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-choice5 minutes1 pt
Name two triangles that are congruent by ASA.
- 17. Multiple-choice5 minutes1 pt
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-choice5 minutes1 pt
Complete the congruence statement.
∠PMN ≅ ?
∠CBA
∠CAB
∠ABC
∠ACB
