6.3 Triangle Proofs

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 does the ASA postulate stand for?

Back

Angle-Side-Angle 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 does the SAS postulate stand for?

Back

Side-Angle-Side 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 does the AAS postulate stand for?

Back

Angle-Angle-Side postulate states that 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 HL theorem?

Back

Hypotenuse-Leg theorem states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What is the definition of parallel lines?

Back

Lines in a plane that never meet and are always the same distance apart.

Front

What is the definition of corresponding angles?

Back

Angles that are in the same position on two parallel lines cut by a transversal.

Front

What is the definition of vertical angles?

Back

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

Front

What is the definition of a transversal?

Back

A line that intersects two or more lines at different points.

Front

What is the definition of a triangle?

Back

A polygon with three edges and three vertices.