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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. $\Delta TRS\cong\Delta ONM.$ Angles: $<T\cong<O;\ <R\cong<N;\ <S\cong<M.$ Sides: $\overline{TR}\cong\overline{ON};\ \overline{RS}\cong\overline{NM};\ \overline{ST}\cong\overline{MO}$

SAS. $\Delta TRS\cong\Delta ONM.$ Angles: $<T\cong<O;\ <R\cong<N;\ <S\cong<M.$ Sides: $\overline{TR}\cong\overline{ON};\ \overline{RS}\cong\overline{NM};\ \overline{ST}\cong\overline{MO}$

SSS. $\Delta TRS\cong\Delta ONM.$ Angles: $<T\cong<O;\ <R\cong<N;\ <S\cong<M.$ Sides: $\overline{TR}\cong\overline{ON};\ \overline{RS}\cong\overline{NM};\ \overline{ST}\cong\overline{MO}$

The two triangles are not congruent.

- 2. Multiple-choice5 minutes1 pt
Complete the statement. Explain why is it true.

$\overline{QP}\cong\ldots\cong\overline{UT}$

$\overline{QP}\cong\overline{PS}\cong\overline{UT}$ because if two angles areâ€‹ congruent, then the sides connecting those angles are congruent.

$\overline{QP}\cong\overline{QS}\cong\overline{UT}$ because if two angles areâ€‹ congruent, then the sides opposite those angles are congruent.

$\overline{QP}\cong\overline{QS}\cong\overline{UT}$ because if two angles areâ€‹ congruent, then the sides connecting those angles are congruent.

$\overline{QP}\cong\overline{PS}\cong\overline{UT}$ â‰…UT

because if two angles areâ€‹congruent, then the sides opposite those angles are congruent.

- 3. Multiple-choice5 minutes1 pt
Find the values of X and Y.

$x=39;\ y=6$

$x=6;\ y=39$

$x=51;\ y=61$

$x=69;\ y=2058$

- 4. Multiple-choice5 minutes1 pt
An equilateral triangle and an isosceles triangle share a common side. What is the measure of $\angle ABC$ ?

114

1

36

63

- 5. Multiple-choice5 minutes1 pt
Are the two trianglesâ€‹ congruent? Ifâ€‹ so, write the congruence statement.

Yes,

Î”PQRâ‰…Î”SUT

by the HL theorem.

Yes,

Î”PQRâ‰…Î”UTS

by the HL theorem.

Yes,

Î”PQRâ‰…Î”UST

by the HL theorem.

Yes,

Î”PQRâ‰…Î”STU

by the HL theorem.

â€‹No, the triangles are not congruent.

- 6. Multiple-choice5 minutes1 pt
The triangles Î”CDE and Î”DCF are congruent. Identify their common side or angle.

Side CD

Side DF

Side DE

Side FG

- 7. Multiple-choice5 minutes1 pt
On this nationalâ€‹ flag, the indicated segments and angles are congruent. First, consider Î”JKN and Î”MLN. The two triangles are congruent by which of the followingâ€‹ properties? Since Î”JKNâ‰…Î”MLNâ€‹, their corresponding parts are congruent.â€‹ Namely, side KN is congruent to side ___. Why is N the midpoint of KLâ€‹?

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 Î”IJG and Î”KJH â€‹congruent?

ASA property

SAS property

SSS property

- 9. Multiple-choice5 minutes1 pt
Identify any common angles or sides.

Î”RBF and Î”BRP

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.

â–³

*AWC*â‰… â–³*CRW*by ASA.â–³

*AWC*â‰… â–³*RCW*by AAS.â–³

*AWC*â‰… â–³*WCR*by SAS.â–³

*AWC*â‰… â–³*RWC*by ASA. - 11. Multiple-choice5 minutes1 pt
Which postulate or theorem, if any, could you use to prove â–³

*DBE*â‰… â–³*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: $<Q\cong<H;\ <P\cong<G;\ <R\cong<I.$

Sides: $\overline{QP}\cong\overline{HG};\ \overline{PR}\cong\overline{GI};\ \overline{QR}\cong\overline{HI}$

The two triangles are not congruent

- 14. Multiple-choice5 minutes1 pt
What otherâ€‹ information, ifâ€‹ any, do you need to prove the two triangles congruent byâ€‹ SAS? Explain.

GTâ‰…NQ

is needed because the congruent angles need to be included between two corresponding congruent sides.

GLâ‰…NM

and

GTâ‰…NQ

are both needed because all three corresponding sides must be congruent.

GLâ‰…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 trianglesâ€‹ congruent? If there is not enough information to prove the triangles by SSS orâ€‹ SAS, writeâ€‹ "not enoughâ€‹ information". Explain your answer.

Î”AROâ‰…Î”KEFâ€‹,

SAS

Î”AROâ‰…Î”KEFâ€‹,

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. Ifâ€‹ so, name the postulate or theorem that best justifies your answer. Ifâ€‹ 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.

âˆ

*PMN*â‰…__?__âˆ

*CBA*âˆ

*CAB*âˆ

*ABC*âˆ

*ACB*