Proving Triangles Are Congruent

Front

Definition of a Midpoint

Back

A point that divides a segment into two equal parts.

Front

Angle-Angle-Side (AAS) Congruence Theorem

Back

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

Front

Definition of an Isosceles Triangle

Back

A triangle with at least two sides of equal length.

Front

Alternate Interior Angles Theorem (AIAT)

Back

If two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent.

Front

Definition of an Angle Bisector

Back

A ray that divides an angle into two equal parts.

Front

Side-Side-Side (SSS) Congruence Postulate

Back

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

Front

Angle-Side-Angle (ASA) Congruence Theorem

Back

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

Front

Definition of a Segment Bisector

Back

A point, line, or ray that divides a segment into two equal parts.

Front

Vertical Angles Theorem (VAT)

Back

Vertical angles are congruent.

Front

Right Angle Congruence Theorem (RACT)

Back

All right angles are congruent.