Triangle Congruence Proofs

Front

What is Triangle Congruence?

Back

Triangle congruence means that two triangles are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What are the criteria for triangle congruence?

Back

The main criteria are SSS (Side-Side-Side), SAS (Side-Angle-Side), and ASA (Angle-Side-Angle).

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, which states that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, which states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, which states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What is the Reflexive Property?

Back

The Reflexive Property states that any geometric figure is congruent to itself, meaning AB = AB.

Front

What are Vertical Angles?

Back

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

Front

What are Alternate Interior Angles?

Back

Alternate interior angles are pairs of angles that lie between two lines and on opposite sides of a transversal. They are equal when the lines are parallel.

Front

What is the Transitive Property?

Back

The Transitive Property states that if A = B and B = C, then A = C.

Front

Which postulate cannot be used to prove triangle congruence?

Back

AAA (Angle-Angle-Angle) cannot be used to prove triangle congruence because it does not provide information about the sides.