Triangle Congruence Proofs

Front

What is the Definition of Congruence?

Back

Two figures are congruent if they have the same shape and size.

Front

What is the Definition of Equality?

Back

Two quantities are equal if they represent the same value.

Front

What is the Definition of Midpoint?

Back

The midpoint of a line segment is the point that divides the segment into two equal parts.

Front

What is SSS Congruence?

Back

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

Front

What is SAS Congruence?

Back

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 is ASA Congruence?

Back

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.

Front

What is AAS Congruence?

Back

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.

Front

What is HL Congruence?

Back

In right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, the triangles are congruent.

Front

What is the Vertical Angle Theorem?

Back

Vertical angles are equal.

Front

What is the Reflexive Property?

Back

Any geometric figure is congruent to itself.