Triangle Congruence Shortcuts

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where 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 SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where 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 SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are equal to all three sides 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 criterion for triangle congruence where 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 significance of triangle congruence in geometry?

Back

Triangle congruence is significant because it allows us to determine that two triangles are identical in shape and size, which is essential for solving various geometric problems.

Tags

CCSS.8.G.A.2

Front

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

Back

No, two triangles cannot be determined to be congruent with only one side known; additional information about angles or other sides is needed.

Tags

CCSS.8.G.A.2

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means that two triangles are identical in shape and size, while similarity means that two triangles have the same shape but may differ in size.

Tags

CCSS.8.G.A.2

Front

What is the purpose of using triangle congruence shortcuts?

Back

The purpose of using triangle congruence shortcuts is to quickly determine if two triangles are congruent without having to measure all sides and angles.

Tags

CCSS.HSG.SRT.B.5

Front

What is the criteria for two triangles to be congruent using the SSS method?

Back

For two triangles to be congruent using the SSS method, all three sides of one triangle must be equal to all three sides of the other triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the criteria for two triangles to be congruent using the ASA method?

Back

For two triangles to be congruent using the ASA method, two angles and the included side of one triangle must be equal to two angles and the included side of another triangle.

Tags

CCSS.HSG.SRT.B.5