Triangle Congruence

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are equal to the three sides of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What is the sum of the angles in a triangle?

Back

The sum of the angles in a triangle is always 180 degrees.

Front

What is the value of x if the angles of a triangle are 30 degrees, 60 degrees, and x degrees?

Back

x = 90 degrees, since 30 + 60 + x = 180.

Front

What is the definition of congruent triangles?

Back

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

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means the triangles are the same size and shape, while similarity means the triangles have the same shape but may differ in size.

Front

How can you prove triangles are congruent using the SSS criterion?

Back

To prove triangles are congruent using SSS, you must show that all three sides of one triangle are equal to the three sides of another triangle.

Front

How can you prove triangles are congruent using the SAS criterion?

Back

To prove triangles are congruent using SAS, you must show that two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

How can you prove triangles are congruent using the ASA criterion?

Back

To prove triangles are congruent using ASA, you must show that two angles and the included side of one triangle are equal to two angles and the included side of another triangle.