Triangle Congruence Mixed Practice (No HL)

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a theorem 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.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem 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.

Front

What does SAA stand for in triangle congruence?

Back

SAA stands for Side-Angle-Angle, a theorem 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.

Front

Which triangle congruence theorem is NOT valid?

Back

SSA (Side-Side-Angle) is not a valid theorem for proving triangle congruence.

Front

How can you prove two triangles are congruent using SSS?

Back

By showing that all three corresponding sides of the triangles are equal in length.

Front

How can you prove two triangles are congruent using SAS?

Back

By showing that two sides and the angle between them in one triangle are equal to the corresponding two sides and the included angle in the other triangle.

Front

How can you prove two triangles are congruent using AAS?

Back

By showing that two angles and a corresponding non-included side in one triangle are equal to the corresponding two angles and the non-included side in the other triangle.

Front

How can you prove two triangles are congruent using SAA?

Back

By showing that two angles and a corresponding non-included side in one triangle are equal to the corresponding two angles and the non-included side in the other triangle.

Front

What is the significance of corresponding parts in triangle congruence?

Back

Corresponding parts are the sides and angles of triangles that are equal in measure, which is essential for proving triangle congruence.