Congruent Triangles Statements

Front

What is the definition of congruent triangles?

Back

Triangles that have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What does the Reflexive Property state?

Back

For any geometric figure, it is congruent to itself. For example, segment AB is congruent to segment AB.

Front

What is the Vertical Angles Theorem?

Back

Vertical angles are always congruent. If two angles are opposite each other when two lines intersect, they are equal.

Front

What is the Alternate Interior Angles Theorem?

Back

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

Front

What is the definition of an angle bisector?

Back

A ray that divides an angle into two equal parts.

Front

What is the definition of a midpoint?

Back

The point that divides a segment into two equal parts.

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 definition of corresponding angles?

Back

Angles that are in the same position on different parallel lines cut by a transversal.

Front

What is the definition of corresponding sides?

Back

Sides that are in the same position in two congruent figures.

Front

What is the Side-Angle-Side (SAS) Congruence Postulate?

Back

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