Geometry A 3.5 Proofs A

Front

What is the definition of congruent triangles?

Back

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

Front

What does the term 'AAS' stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a method to prove triangles are congruent by showing two angles and a non-included side are equal.

Front

What is the Reflexive Property in geometry?

Back

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

Front

What does 'ASA' mean in the context of triangle congruence?

Back

ASA stands for Angle-Side-Angle, a method to prove triangles are congruent by showing two angles and the included side are equal.

Front

What is the SSS criterion for triangle congruence?

Back

SSS stands for Side-Side-Side, a method to prove triangles are congruent by showing all three corresponding sides are equal.

Front

What is the SAS criterion for triangle congruence?

Back

SAS stands for Side-Angle-Side, a method to prove triangles are congruent by showing two sides and the included angle are equal.

Front

What is the definition of supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles that are on opposite sides of a transversal and inside the two lines it intersects.

Front

What is the purpose of a proof in geometry?

Back

A proof is a logical argument that demonstrates the truth of a geometric statement using definitions, properties, and previously established theorems.

Front

What is the definition of a segment in geometry?

Back

A segment is a part of a line that is bounded by two distinct endpoints.