Triangle Congruence Criteria

Front

What theorem states that vertical angles are congruent?

Back

Vertical Angles Theorem

Front

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

Back

Given

Front

What does the symbol '⊥' indicate when placed between two lines?

Back

Perpendicular Lines

Front

What is the term for a segment that divides an angle into two equal parts?

Back

Angle Bisector

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 are the three main criteria for triangle congruence?

Back

Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA).

Front

What does the Side-Angle-Side (SAS) criterion state?

Back

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

Front

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

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 definition of complementary angles?

Back

Two angles that add up to 90 degrees.

Front

What is the definition of supplementary angles?

Back

Two angles that add up to 180 degrees.