PROOFS with Congruent triangles

Front

What is a congruent triangle?

Back

A triangle that has the same size and shape as another triangle. This means all corresponding sides and angles are equal.

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side: A method of proving triangles are congruent if two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle: A method of proving triangles are congruent if two angles and the included side of one triangle are equal to the corresponding parts of another triangle.

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side: A method of proving triangles are congruent if all three sides of one triangle are equal to the three sides of another triangle.

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side: A method of proving triangles are congruent if two angles and a non-included side of one triangle are equal to the corresponding parts of another triangle.

Front

What is the Reflexive Property?

Back

A property stating that any geometric figure is congruent to itself. For example, triangle ABC is congruent to triangle ABC.

Front

What is the Transitive Property of congruence?

Back

If triangle A is congruent to triangle B, and triangle B is congruent to triangle C, then triangle A is congruent to triangle C.

Front

What are Alternate Interior Angles?

Back

Angles that are on opposite sides of a transversal and inside the two lines. They are congruent when the lines are parallel.

Front

What are Corresponding Angles?

Back

Angles that are in the same position on two parallel lines in relation to a transversal. They are congruent when the lines are parallel.

Front

What is the purpose of a proof in geometry?

Back

To provide a logical argument that demonstrates the truth of a geometric statement or theorem.