SAS, SSS, ASA, AAS

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate that states 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

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if all three sides of one triangle are equal to all three sides of another triangle, then 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, a postulate that states 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

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate 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, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the condition for two triangles to be congruent using the SSS postulate?

Back

Two triangles are congruent using the SSS postulate if all three sides of one triangle are equal to all three sides of the other triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the condition for two triangles to be congruent using the SAS postulate?

Back

Two triangles are congruent using the SAS postulate 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 condition for two triangles to be congruent using the ASA postulate?

Back

Two triangles are congruent using the ASA postulate 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 condition for two triangles to be congruent using the AAS postulate?

Back

Two triangles are congruent using the AAS postulate 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, knowing only one side is not sufficient to determine triangle congruence. At least two sides and the included angle or two angles and a side are needed.

Tags

CCSS.8.G.A.2

Front

If two triangles have two equal angles, what can be said about their sides?

Back

If two triangles have two equal angles, their corresponding sides are proportional, but they may not be congruent unless a side is also known.

Tags

CCSS.HSG.CO.B.7