Geometry Proofs

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What does it mean to bisect a segment or an angle?

Back

To bisect a segment or an angle means to divide it into two equal parts.

Front

What is the significance of Corresponding Parts of Congruent Triangles are Congruent (CPCTC)?

Back

CPCTC is a theorem that states if two triangles are congruent, then their corresponding parts (sides and angles) are also congruent.

Front

What is the definition of congruent triangles?

Back

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

Front

What is the Angle-Side-Angle (ASA) criterion for triangle congruence?

Back

The ASA criterion 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 triangles are congruent.

Front

What is the Side-Side-Side (SSS) criterion for triangle congruence?

Back

The SSS criterion states that if all three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent.

Front

What is the definition of a bisector in geometry?

Back

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

Front

What is the purpose of a proof in geometry?

Back

The purpose of a proof in geometry is to provide a logical argument that establishes the truth of a geometric statement or theorem.

Front

What is the definition of corresponding angles?

Back

Corresponding angles are angles that are in the same position at each intersection where a straight line crosses two others.

Front

What is the definition of vertical angles?

Back

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