Triangle Proofs

Front

What is the definition of a midpoint?

Back

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

Front

What is the definition of a bisector?

Back

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

Front

What is the definition of a perpendicular line?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees).

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

What is the Reflexive Property?

Back

The Reflexive Property states that any quantity is equal to itself (e.g., AB = AB).

Front

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

Back

The SAS Postulate states that 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 ASA (Angle-Side-Angle) Postulate?

Back

The ASA Postulate 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 SSS (Side-Side-Side) Postulate?

Back

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

Front

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

Back

The AAS Postulate states that if two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.

Front

What does it mean for angles to be congruent?

Back

Congruent angles are angles that have the same measure.