# 6.11: Identify and Apply Theorems to Triangle Congruence

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**At Grade**Created by: CK-12
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AAS (Angle-Angle-Side)

AAS (Angle-Angle-Side)

If two angles and a non-included side in one triangle are congruent to two angles and the corresponding non-included side in another triangle, then the triangles are congruent.Angle Side Angle Triangle

Angle Side Angle Triangle

The term 'angle-side-angle triangle' refers to a triangle with known measures of two angles and the length of the side between them.ASA

ASA

ASA, angle-side-angle, refers to two known angles in a triangle with one known side between the known angles.Congruent

Congruent

Congruent figures are identical in size, shape and measure.Corresponding Angles

Corresponding Angles

Corresponding angles are two angles that are in the same position with respect to the transversal, but on different lines.Reflexive Property of Congruence

Reflexive Property of Congruence

orSAS

SAS

SAS means side, angle, side, and refers to the fact that two sides and the included angle of a triangle are known.Side Side Side Triangle

Side Side Side Triangle

A side side side triangle is a triangle where the lengths of all three sides are known quantities.SSS

SSS

SSS means side, side, side and refers to the fact that all three sides of a triangle are known in a problem.### Image Attributions

## Description

Learn to identify and apply theorems to test triangle congruence.

## Learning Objectives

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## Date Created:

Jan 23, 2013## Last Modified:

Dec 15, 2015## Vocabulary

AAS (Angle-Angle-Side)

AAS (Angle-Angle-Side)

If two angles and a non-included side in one triangle are congruent to two angles and the corresponding non-included side in another triangle, then the triangles are congruent.Angle Side Angle Triangle

Angle Side Angle Triangle

The term 'angle-side-angle triangle' refers to a triangle with known measures of two angles and the length of the side between them.ASA

ASA

ASA, angle-side-angle, refers to two known angles in a triangle with one known side between the known angles.Congruent

Congruent

Congruent figures are identical in size, shape and measure.Corresponding Angles

Corresponding Angles

Corresponding angles are two angles that are in the same position with respect to the transversal, but on different lines.Reflexive Property of Congruence

Reflexive Property of Congruence

orSAS

SAS

SAS means side, angle, side, and refers to the fact that two sides and the included angle of a triangle are known.Side Side Side Triangle

Side Side Side Triangle

A side side side triangle is a triangle where the lengths of all three sides are known quantities.SSS

SSS

SSS means side, side, side and refers to the fact that all three sides of a triangle are known in a problem.
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