Congruent Triangles

Front

What are congruent triangles?

Back

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

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side; a method to prove triangles are congruent if all three sides of one triangle are equal to the three sides of another triangle.

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle; a method to prove triangles are congruent if two angles and the included side of one triangle are equal to the corresponding parts of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side; a method to prove triangles are congruent if two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

Front

What does AAA stand for in triangle congruence?

Back

Angle-Angle-Angle; a method that shows triangles have the same shape but not necessarily the same size; it does not prove congruence.

Front

What is the hypotenuse of a right triangle?

Back

The side opposite the right angle in a right triangle.

Front

How can you prove two triangles are congruent using SAS?

Back

You need to show that two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

Front

If two angles of one triangle are equal to two angles of another triangle, what can be said about the triangles?

Back

The triangles are similar, but not necessarily congruent.

Front

What is the significance of corresponding parts in congruent triangles?

Back

Corresponding parts of congruent triangles are equal, which means all sides and angles match.

Front

What is the relationship between congruence and similarity in triangles?

Back

All congruent triangles are similar, but not all similar triangles are congruent.