Geometry - Congruent Triangles

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a property used to prove that two triangles are congruent if two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a property used to prove that two triangles are congruent if all three sides of one triangle are equal to the three sides of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a property used to prove that two triangles are congruent if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a property used to prove that two triangles are congruent 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.

Tags

CCSS.HSG.SRT.B.5

Front

What is the criteria for triangle congruence using ASA?

Back

Two triangles are congruent if two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the criteria for triangle congruence using SSS?

Back

Two triangles are congruent if all three sides of one triangle are equal to the three sides of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the criteria for triangle congruence using SAS?

Back

Two triangles are congruent if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the criteria for triangle congruence using AAS?

Back

Two triangles are congruent 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.

Tags

CCSS.HSG.SRT.B.5

Front

Can two triangles be congruent if only one side is known?

Back

No, at least two sides and the included angle or two angles and the included side are needed to prove congruence.

Tags

CCSS.8.G.A.2

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles have the same size and shape, which means their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2