ASA and AAS Congruent Triangles

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side

Front

What is the ASA postulate?

Back

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.

Front

What is the AAS postulate?

Back

If two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.

Front

What is the SSS postulate?

Back

If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What is the SAS postulate?

Back

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.

Front

Can SSA be used to prove triangle congruence?

Back

No, SSA does not guarantee triangle congruence.

Front

What is the significance of congruent triangles in geometry?

Back

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

Front

Provide an example of ASA in a triangle.

Back

If triangle ABC has angles A and B equal to angles D and E in triangle DEF, and side AB equals side DE, then triangles ABC and DEF are congruent by ASA.

Front

Provide an example of AAS in a triangle.

Back

If triangle GHI has angles G and H equal to angles J and K in triangle JKL, and side HI equals side KL, then triangles GHI and JKL are congruent by AAS.