Ways to Prove Triangles Congruent

4.4-4.5 Proving Triangles Congruent

Multiple Choice

Refer to the figure.

Find x.

• 1

• 2

• 3

• 4

Multiple Choice

Refer to the figure.

Find m∠ A.

• 30

• 39

• 59

• 63

Multiple Choice

Given that ΔABC ≅ ΔDEF, which of the following statements is true?

• ∠A ≅ ∠E

• ∠C ≅ ∠D

• AB ≅ DE

• BC ≅ FD

Multiple Choice

Which information is missing from the flowproof?

Given: AC ≅ AB

D is the midpoint of BC.

Prove: ΔADC ≅ ΔADB

• A

• B

• C

• D

Multiple Choice

Determine whether ΔABC ≅ ΔDEF for A(–5, 5), B(0, 3), C(–4, 1),

D(6, –3), E(1, –1), and F(5, 1).

• yes

• no

• cannot be determined

Multiple Choice

Determine which postulate can be used to prove that the triangles are congruent. If it is not possible to prove congruence, choose not possible.

• SSS

• SAS

• ASA

• Not Possible

Multiple Choice

Determine which postulate can be used to prove that the triangles are congruent. If it is not possible to prove congruence, choose not possible.

• SSS

• ASA

• SAS

• Cannot be determined

Multiple Choice

Determine which postulate can be used to prove that the triangles are congruent. If it is not possible to prove congruence, choose not possible.

• SSS

• ASA

• SAS

• cannot be determined

Multiple Choice

Determine which postulate can be used to prove that the triangles are congruent. If it is not possible to prove congruence, choose not possible.

• SSS

• ASA

• SAS

• Cannot be determined

Multiple Choice

Fill in the blank following the paragraph proof.

• SSS

• ASA

• SAS

• AAS

Multiple Choice

Complete the following flow proof.

• SSS

• SAS

• ASA

• AAS

Multiple Choice

The curtain decorating the window forms 2 triangles

at the top. B is the midpoint of AC. AE = 13 inches and CD = 13 inches. BE and BD each use the same amount of material, 17 inches. Which method would you use to prove ΔABE  ΔCBD?

• SSS

• ASA

• SAS

• AAS