Congruent Triangle Proofs

Front

What are congruent triangles?

Back

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

Front

What does ASA stand for in triangle congruence?

Back

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

Front

What does AAS stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

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

Front

What is the Reflexive Property?

Back

A property stating that any geometric figure is congruent to itself, used in proofs.

Front

What are Vertical Angles?

Back

Angles that are opposite each other when two lines intersect; they are always congruent.

Front

What are Alternate Interior Angles?

Back

Angles that lie between two parallel lines and on opposite sides of a transversal; they are congruent.

Front

What are Alternate Exterior Angles?

Back

Angles that lie outside two parallel lines and on opposite sides of a transversal; they are congruent.

Front

What is the definition of a bisector?

Back

A line that divides an angle or a segment into two equal parts.

Front

What is the significance of the congruence symbol (≅)?

Back

It indicates that two figures are congruent, meaning they have the same size and shape.