Triangle Congruence Review

1.

Multiple Select

5 mins

1 pt

x=

y=

Choose 2 answers

7

25

6

11

18

2.

Multiple Select

2 mins

1 pt

∠6 & ∠2

∠5 & ∠6

∠3 & ∠4

∠5 & ∠8

∠4 & ∠5

3.

Multiple Choice

1 min

1 pt

If BCDE ≅ OPQR, then DE =

PQ

OR

OP

QR

4.

Multiple Choice

30 sec

1 pt

Reflexive Property, Given

Transitive Property, Reflexive Property

Given, Reflexive Property

Reflexive Property, Transitive Property

5.

Multiple Choice

30 sec

1 pt

∠ABC≅ ?

∠PMN

∠NPM

∠NMP

∠MNP

6.

Multiple Choice

20 sec

1 pt

The two triangles are congruent. Find the value of c.

(Diagrams are not to scale.)

4

5

3

38

7.

Multiple Choice

1 min

1 pt

Given: ∆ABC≅∆PQR, m∠B=3V+4, & m∠Q=8v-6. Find m∠B

[Hint: DRAW A PICTURE!]

22

11

10

2

8.

Multiple Choice

1 min

1 pt

Symmetric Property of ≅ ; SSS

Reflexive Property of ≅ ; SAS

Reflexive Property of ≅ ; SSS

Symmetric Property of ≅; SAS

9.

Multiple Choice

2 mins

1 pt

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

10.

Multiple Choice

2 mins

1 pt

State whether ∆ABC and ∆AED are congruent. Justify your answer.

yes, by either SSS or SAS

yes, by SSS only

yes, by SAS only

Not enough information to reach a conclusion.

No, they are NOT congruent

11.

Multiple Select

1 min

1 pt

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

12.

Multiple Select

2 mins

1 pt

From the information in the diagram, can you prove ∆FDG ≅ ∆FDB ? If so, in what way(s)? Explain.

yes, by ASA

yes, by AAA

yes, by AAS

no

Unsure

13.

Multiple Choice

30 sec

1 pt

Can you use the ASA Postulate, the AAS Theorem, or both to prove the triangles congruent?

either ASA or AAS

ASA only

AAS only

neither

14.

Multiple Choice

45 sec

1 pt

Name the theorem or postulate that lets you immediately conclude ∆ABD ≅ ∆CBD.

SAS

AAS

ASA

H-L

none of these

15.

Multiple Choice

1 min

1 pt

Supply the missing reasons to complete the proof.

Given: ∠Q ≅ ∠T; QR ≅ TR

3. ASA

4.Substitution

3. SAS

4. CPCTC

3. AAS

4. CPCTC

3. ASA

4. CPCTC

16.

Multiple Choice

1 min

1 pt

For which situation could you prove

∆1≅ ∆2 using the H-L Theorem?

I only

II only

I & II

I & III

III only

17.

Multiple Choice

20 sec

1 pt

If ∆MNO ≅ ∆PQR, which of the following can you NOT conclude as being true? [Hint: DRAW A PICTURE!!]

MN = PR

∠M ≅ ∠P

NO = QR

∠N ≅ ∠Q

18.

Multiple Choice

30 sec

1 pt

∠N

∠P

∠M

None of these

19.

Multiple Choice

30 sec

1 pt

What else must you know to prove the triangles congruent by ASA? By SAS?

20.

Multiple Choice

3 mins

1 pt

Is there enough information to conclude that the two triangles are congruent? If so, what is a correct congruence statement?

∆CAB ≅ ∆DAC

∆ACB ≅ ∆ACD

∆ABC ≅ ∆ACD

No, the triangles cannot be proven congruent.

Explore this activity with a free account