SSS, SAS, ASA, and AAS congruency

Front

What does SSS stand for in triangle congruency?

Back

SSS stands for Side-Side-Side, a postulate stating that 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 congruency?

Back

SAS stands for Side-Angle-Side, a postulate stating that 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 congruency?

Back

ASA stands for Angle-Side-Angle, a postulate stating that 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 congruency?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have three equal sides, what can we conclude about them?

Back

The triangles are congruent by the SSS postulate.

Tags

CCSS.8.G.A.2

Front

If two triangles have two sides equal and the included angle equal, what can we conclude about them?

Back

The triangles are congruent by the SAS postulate.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have two angles equal and the included side equal, what can we conclude about them?

Back

The triangles are congruent by the ASA postulate.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have two angles equal and a non-included side equal, what can we conclude about them?

Back

The triangles are congruent by the AAS postulate.

Tags

CCSS.8.G.A.2

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles have the same shape and size, which allows for the application of various geometric principles and theorems.

Tags

CCSS.8.G.A.2

Front

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

Back

No, two triangles cannot be congruent with only one side equal; at least two sides and the included angle or two angles and a side must be equal.

Tags

CCSS.8.G.A.2