Triangle Congruence Proofs

Front

What is the definition of a bisector?

Back

A bisector is a line, segment, or ray that divides an angle or a segment into two equal parts.

Front

What is the definition of vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal.

Front

What does congruence mean in geometry?

Back

Congruence in geometry means that two figures have the same shape and size, and can be made to coincide by rigid motions.

Front

What is the ASA Congruence Postulate?

Back

The ASA (Angle-Side-Angle) Congruence Postulate states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent.

Front

What is the definition of a midpoint?

Back

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

Front

What is the definition of an angle bisector?

Back

An angle bisector is a ray that divides an angle into two equal angles.

Front

What is the definition of corresponding angles?

Back

Corresponding angles are angles that are in the same position on two parallel lines in relation to a transversal. They are equal when the lines are parallel.

Front

What is the definition of alternate interior angles?

Back

Alternate interior angles are pairs of angles that are on opposite sides of a transversal and inside the two lines. They are equal when the lines are parallel.

Front

What is the definition of triangle congruence?

Back

Triangle congruence means that two triangles are congruent if their corresponding sides and angles are equal.

Front

What is the SSS Congruence Postulate?

Back

The SSS (Side-Side-Side) Congruence Postulate states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.