Ch 4 Triangle Congruence Review

Front

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

Back

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

Front

What is the AAS (Angle-Angle-Side) Congruence Theorem?

Back

The AAS Congruence Theorem states that 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 two triangles are congruent.

Front

What does SSA (Side-Side-Angle) imply about triangle congruence?

Back

SSA does not guarantee triangle congruence; it can lead to ambiguous cases where two different triangles can be formed.

Front

Define Vertical Angles.

Back

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

Front

What is the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself.

Front

What is the definition of an Angle Bisector?

Back

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

Front

What is the Alternate Interior Angles Theorem?

Back

The Alternate Interior Angles Theorem states that if two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent.

Front

What is the definition of Midpoint?

Back

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

Front

What is the definition of Congruent Triangles?

Back

Congruent triangles are triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the SSS (Side-Side-Side) Congruence Postulate?

Back

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