Triangle Congruence Proofs

Front

What is always the 1st statement in the reason column of a proof?

Back

Given

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if their corresponding sides and angles are equal.

Front

What is the definition of a segment bisector?

Back

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

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect, and they are always congruent.

Front

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

Back

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

Front

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

Back

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

Front

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

Back

If two angles and a non-included side of one triangle are equal 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

In right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, then the triangles are congruent.

Front

What is the purpose of a proof in geometry?

Back

The purpose of a proof is to provide a logical argument that demonstrates the truth of a geometric statement.

Front

What does it mean for segments to be congruent?

Back

Segments are congruent if they have the same length.