Triangle Congruence Theorems

Geo 3.2 -- Triangle Congruence

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The order of the letters matters!!

 $\Delta FGH\cong?$  

Multiple Choice

∆ABC≅∆XYZ

which is true?

• AB≅XY

• AB≅YX

• AB≅XZ

• BC≅CB

Multiple Choice

Complete the congruence statement.

• CRP

• PCR

• RPC

• PRC

Multiple Choice

Use the congruency statement to answer the following:

<F = ___

• <H

• <I

• <G

• not congruent to another angle

Multiple Choice

△BAC ≅ △QPR. If ∠B = 2x and ∠Q = 10, find the value of x.

• 2

• 4

• 5

• -5

All 3 sides of the triangle are congruent

SSS

2 sides and the included angle of the triangles are congruent

SAS

2 angles and the included side are congruent

ASA

Two sides and a non-included angle do NOT prove congruence​

SSA - NOT CONGRUENT!!

If both triangles are right triangles, you can use HL (hypotenuse-leg) congruence theorem.

Multiple Choice

Are the triangles congruent, if yes, why?

• SSS
• SAS
• ASA
• Not Congruent

Multiple Choice

Are the triangles congruent, if yes, why?

• SAS
• ASA
• SSS
• Not Congruent

Multiple Choice

State if the two triangles are congruent.  If they are, state how you know.

• A
• B
• C
• D

Multiple Choice

Name the postulate, if possible, that makes the triangles congruent.

• SSS
• SAS
• ASA
• AAS