Congruent Triangles

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What is the SAS (Side-Angle-Side) congruence criterion?

Back

The SAS criterion states that if two sides of one triangle are equal to two sides of another triangle, and the angle between those sides is equal, then the triangles are congruent.

Front

What is the AAS (Angle-Angle-Side) congruence criterion?

Back

The AAS criterion states that if two angles and the side opposite one of those angles in one triangle are equal to the corresponding parts of another triangle, then the triangles are congruent.

Front

What is the SSS (Side-Side-Side) congruence criterion?

Back

The SSS criterion states that if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

What is the difference between congruent and similar triangles?

Back

Congruent triangles are identical in size and shape, while similar triangles have the same shape but may differ in size.

Front

What is an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length.

Front

What is a scalene triangle?

Back

A scalene triangle is a triangle in which all three sides are of different lengths.

Front

What is an equilateral triangle?

Back

An equilateral triangle is a triangle in which all three sides are of equal length and all angles are equal to 60 degrees.

Front

What does it mean when two angles are congruent?

Back

Two angles are congruent if they have the same measure.

Front

How can you determine if two triangles are congruent using angle measures?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are congruent by the AAS criterion.