Triangle Congruence, Equilateral, and Isosceles Triangles

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 AAS stand for in triangle congruence?

Back

Angle-Angle-Side; a postulate that states 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 triangles are congruent.

Front

What is the definition of an isosceles triangle?

Back

A triangle with at least two sides of equal length.

Front

What is the definition of an equilateral triangle?

Back

A triangle in which all three sides are of equal length and all three angles are equal to 60°.

Front

What does CPCTC stand for?

Back

Corresponding parts of congruent triangles are congruent.

Front

What is the HL theorem?

Back

The Hypotenuse-Leg 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 triangles are congruent.

Front

What is the SAS postulate?

Back

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

Front

What is the ASA postulate?

Back

Angle-Side-Angle; a postulate that states if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Front

How do you find the measure of an angle in a triangle?

Back

The sum of the interior angles of a triangle is always 180°. You can find the measure of an unknown angle by subtracting the sum of the known angles from 180°.

Front

What is the definition of corresponding angles?

Back

Angles that are in the same relative position at each intersection where a straight line crosses two others.