Triangle Postulates & Proofs

Front

What is the definition of a midpoint?

Back

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

Front

If C is the midpoint of BD, what can be concluded about segments BC and CD?

Back

BC ≅ CD (they are congruent).

Front

What does the Angle-Side-Angle (ASA) Postulate state?

Back

If two triangles have two angles and the included side congruent, then the triangles are congruent.

Front

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

Back

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

Front

What is the Angle-Angle-Side (AAS) Postulate?

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

What is the Hypotenuse-Leg (HL) Theorem?

Back

If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

Which of the following is NOT a triangle congruence postulate? Angle-Side-Side, Side-Side-Side, Angle-Angle-Side, Angle-Side-Angle?

Back

Angle-Side-Side is NOT a triangle congruence postulate.

Front

What is the first statement in the reason column of a proof?

Back

Given.

Front

What does the AAA postulate state?

Back

The AAA postulate states that if two triangles have all three angles congruent, they are similar but not necessarily congruent.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.