Congruence Theorems

Front

What is the definition of a midpoint?

Back

A midpoint is a point that divides a segment into two equal parts.

Front

If M is the midpoint of segment PQ, what can we say about segments PM and MQ?

Back

Segment PM is congruent to segment MQ.

Front

What does it mean for two segments to be congruent?

Back

Two segments are congruent if they have the same length.

Front

What is the Congruent Parts of Congruent Figures (CPCF) Theorem?

Back

If two figures are congruent, then their corresponding parts are also congruent.

Front

What is the definition of congruence in geometry?

Back

Congruence means that two figures have the same shape and size.

Front

What happens to the angles of a triangle when it is rotated?

Back

The angles remain congruent to their corresponding angles in the original triangle.

Front

If ΔABC ≅ ΔXYZ, what can we conclude about the sides AB and YZ?

Back

AB is congruent to YZ.

Front

What is the significance of the rotation of a triangle in terms of congruence?

Back

Rotation preserves the size and shape of the triangle, thus maintaining congruence.

Front

What is the Angle-Angle (AA) criterion for triangle similarity?

Back

If two angles of one triangle are congruent to two angles of another triangle, the triangles are similar.

Front

What is the Side-Side-Side (SSS) criterion for triangle congruence?

Back

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