SSS, SAS, ASA, and AAS congruency

Front

What does SSS stand for in triangle congruence?

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 congruence?

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 congruence?

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 congruence?

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 a corresponding non-included side of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have three sides of equal length, what can be concluded about the triangles?

Back

The triangles are congruent by the SSS postulate.

Tags

CCSS.8.G.A.2

Front

If two triangles have two sides of equal length and the angle between them is equal, what can be concluded about the triangles?

Back

The triangles are congruent by the SAS postulate.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have two angles of equal measure and the side opposite one of the angles is equal, what can be concluded about the triangles?

Back

The triangles are congruent by the AAS postulate.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have two angles of equal measure, what can be concluded about the triangles?

Back

The triangles are similar, but not necessarily congruent unless the sides are also proportional.

Tags

CCSS.HSG.SRT.A.2

Front

Complete the congruence statement: Triangle OEG is congruent to triangle ___?

Back

Triangle OEG is congruent to triangle OGE.

Tags

CCSS.HSG.CO.B.7

Front

If triangle ABC is congruent to triangle DEF, what can be said about their corresponding angles and sides?

Back

The corresponding angles and sides of triangle ABC and triangle DEF are equal.

Tags

CCSS.HSG.CO.B.7