Congruent Triangles

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 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 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 hypotenuse of a right triangle?

Back

The hypotenuse is the side opposite the right angle in a right triangle, and it is the longest side.

Front

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

Back

To prove triangles are congruent using SAS, you need to show that two sides and the angle between them in one triangle are equal to the corresponding two sides and angle in the other triangle.

Front

What is the Angle-Angle-Angle (AAA) criterion?

Back

AAA is a criterion that states if two triangles have equal corresponding angles, they are similar, but not necessarily congruent.

Front

What is the significance of corresponding parts in congruent triangles?

Back

In congruent triangles, corresponding parts (sides and angles) are equal, which allows for the application of congruence criteria.

Front

What is the relationship between congruence and similarity in triangles?

Back

All congruent triangles are similar, but not all similar triangles are congruent. Congruent triangles have the same size and shape, while similar triangles have the same shape but may differ in size.

Front

What information is needed to prove triangles congruent using ASA?

Back

To prove triangles congruent using ASA, you need two angles and the included side of one triangle to be equal to the corresponding two angles and included side of another triangle.