Geometry 4.5-4.8

Front

What does the SAS postulate state?

Back

The SAS (Side-Angle-Side) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What is the definition of congruent triangles?

Back

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

Front

What is the AAS theorem?

Back

The AAS (Angle-Angle-Side) theorem states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

Front

What is the definition of the SSS postulate?

Back

The SSS (Side-Side-Side) postulate states that if all three sides of one triangle are congruent to all three sides of another triangle, then the two triangles are congruent.

Front

What is the definition of the Isosceles Triangle Theorem?

Back

The Isosceles Triangle Theorem states that if two sides of a triangle are congruent, then the angles opposite those sides are also congruent.

Front

What is the definition of the Triangle Sum Theorem?

Back

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

Front

What is the definition of the Exterior Angle Theorem?

Back

The Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

Front

What is the definition of corresponding parts of congruent triangles?

Back

Corresponding parts of congruent triangles are the sides and angles that are in the same relative position in two congruent triangles.

Front

What is the definition of the CPCTC principle?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent,' which is used to prove that corresponding sides and angles of congruent triangles are equal.

Front

What is the definition of the Hypotenuse-Leg (HL) theorem?

Back

The HL theorem states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.