Quiz about Congruence and Properties of Triangles

Question 1

The two triangles are congruent as suggested by their appearance. Find the value of c. The diagram is not to scale.

Accepted Answer

3

Answer

4

Answer

5

Answer

38

Question 2

State whether $$\Delta ABC\cong\Delta AED$$ . Justify your answer.

Accepted Answer

yes, by either SSS or SAS

Answer

yes, by SSS only

Answer

yes, by SAS only

Answer

no, there is not enough information to conclude that the triangles are congruent

Question 3

Can you use the ASA postulate, the AAS theorem, or both to prove the triangles congruent?

Accepted Answer

AAS only

Answer

either ASA or AAS

Answer

ASA only

Answer

neither

Question 4

Which congruence statement does NOT necessarily describe the triangles if ?

Accepted Answer

$$\Delta FDE\cong\Delta FGH$$

Answer

$$\Delta EDF\cong\Delta GFH$$

Answer

$$\Delta EFD\cong\Delta GHF$$

Answer

$$\Delta FED\cong HGF$$

Question 5

Are the triangles congruent?

Accepted Answer

Not enough information

Answer

Yes, by AAS

Answer

Yes, by AA

Answer

Yes, by ASA

Answer

Yes, by SAS

Question 6

Are these triangles congruent?

Accepted Answer

Yes, by ASA

Answer

Yes, by AAS

Answer

Yes, by SAS

Answer

No, this is the SSA one!!

Question 7

Are the triangles congruent, if yes, why?

Accepted Answer

ASA

Answer

SAS

Answer

AAS

Answer

Not Congruent

Question 8

What other information do you need in order to prove the triangles congruent using the SAS congruence postulate?

Accepted Answer

$$\angle BAC\cong\angle DAC$$

Answer

$$\angle CBA\cong\angle CDA$$

Answer

$$\overline{AC}\perp\overline{BD}$$

Answer

$$\overline{AC}\cong\overline{BD}$$

Question 9

In each pair of triangles, parts are congruent as marked. Which pair of triangles is congruent by ASA?

Accepted Answer

Question 10

Based on the given information, what can you conclude and why?

Given: $$\angle H\cong\angle L$$ , $$\overline{HJ}\cong\overline{JL}$$

Accepted Answer

$$\Delta HIJ\cong\Delta LKJ$$

by ASA

Answer

$$\Delta HIJ\cong\Delta JKL$$

by SAS

Answer

$$\Delta HIJ\cong\Delta JLK$$

by ASA

Answer

$$\Delta HIJ\cong\Delta LKJ$$

by SAS

Question 11

Name the theorem or postulate that lets you immediately conclude $$\Delta ABD\cong\Delta CBD$$ .

Accepted Answer

SAS

Answer

AAS

Answer

ASA

Answer

HL

Question 12

What additional information is required to prove the two triangles are congruent by SAS?

Accepted Answer

B)

Answer

A)

Answer

C)

Answer

D)

Question 13

Fill in the missing pieces of the proof.

Accepted Answer

Reflexive Property, SAS(Side-Angle-Side)

Answer

Transitive Property, SAS(Side-Angle-Side)

Answer

Reflexive Property, Vertical Angles Thm.

Answer

Transitive Property, SSS(Side-Side-Side)

Question 14

Which triangle congruence theorem can be used to prove the triangles are congruent?

Accepted Answer

SSS

Answer

AAS

Answer

Not enough information given

Answer

ASA

Question 15

Which triangle congruence theorem can be used to prove the triangles are congruent?

Accepted Answer

ASA

Answer

SAS

Answer

AAS

Answer

Not enough information

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