Triangle Postulates Practice

Front

What does AAA stand for in triangle congruence?

Back

AAA stands for Angle-Angle-Angle, which indicates that if two triangles have three angles that are congruent, the triangles are similar but not necessarily congruent.

Front

What is CPCTC in the context of triangle congruence?

Back

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent, which means that if two triangles are proven to be congruent, then all their corresponding sides and angles are also congruent.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, which is a postulate that states if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

Front

What is the HL postulate in triangle congruence?

Back

HL stands for Hypotenuse-Leg, which is a postulate used to prove the congruence of right triangles. It 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

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

Back

To find the measure of a missing angle in a triangle, use the fact that the sum of the interior angles of a triangle is always 180 degrees. Subtract the sum of the known angles from 180 degrees.

Front

What is the difference between similarity and congruence in triangles?

Back

Similarity means that two triangles have the same shape but not necessarily the same size (corresponding angles are equal, but sides are proportional). Congruence means that two triangles are identical in shape and size (all corresponding sides and angles are equal).

Front

What is the ASA postulate in triangle congruence?

Back

ASA stands for Angle-Side-Angle, which is 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

What is the AAS theorem in triangle congruence?

Back

AAS stands for Angle-Angle-Side, which is a theorem 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 significance of the triangle inequality theorem?

Back

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. This is essential for determining whether a set of three lengths can form a triangle.

Front

What is the definition of a congruent triangle?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.