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 include 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

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, which is a criterion that states if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, which is a criterion that states if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, which is a criterion that states if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, which is a criterion that states 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, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, which is a criterion used for right triangles stating that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of corresponding angles in triangle congruence?

Back

Corresponding angles are important in triangle congruence as they must be equal for the triangles to be considered congruent under the criteria of ASA and AAS.

Tags

CCSS.HSG.CO.B.7

Front

What is the significance of corresponding sides in triangle congruence?

Back

Corresponding sides must be equal in length for triangles to be considered congruent under the criteria of SSS and SAS.

Tags

CCSS.8.G.A.2

Front

How can you determine if two triangles are congruent using AAS?

Back

To determine if two triangles are congruent using AAS, you need to know two angles and one non-included side of one triangle and show they are equal to the corresponding angles and side of the other triangle.

Tags

CCSS.HSG.SRT.B.5