Triangle Congruence

Front

What is Triangle Congruence?

Back

Triangle Congruence refers to the condition where two triangles are identical in shape and size, meaning their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What are the criteria for triangle congruence?

Back

The criteria for triangle congruence are: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg for right triangles).

Tags

CCSS.HSG.SRT.B.5

Front

Define SSS (Side-Side-Side) Congruence.

Back

SSS Congruence states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

Define SAS (Side-Angle-Side) Congruence.

Back

SAS Congruence states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

Define ASA (Angle-Side-Angle) Congruence.

Back

ASA Congruence states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

Define AAS (Angle-Angle-Side) Congruence.

Back

AAS Congruence states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

Define HL (Hypotenuse-Leg) Congruence.

Back

HL Congruence applies to right triangles and states that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is a congruence statement?

Back

A congruence statement is a mathematical statement that indicates that two geometric figures are congruent, typically written in the form of triangle names, such as △ABC ≅ △DEF.

Tags

CCSS.8.G.A.2

Front

What additional information is needed for SAS congruence?

Back

For SAS congruence, you need to know the lengths of two sides and the measure of the included angle.

Tags

CCSS.HSG.SRT.B.5

Front

What additional information is needed for SSS congruence?

Back

For SSS congruence, you need to know the lengths of all three sides of the triangles.

Tags

CCSS.HSG.SRT.B.5