Unit 3 Review: Congruent Triangles

Front

What is a congruent triangle?

Back

A triangle that is identical in shape and size to another triangle, meaning all corresponding sides and angles are equal.

Front

What does the SSS congruence theorem state?

Back

If three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

What does the SAS congruence theorem state?

Back

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What does the ASA congruence theorem state?

Back

If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent.

Front

What does the AAS congruence theorem state?

Back

If two angles and a non-included side of one triangle are equal to two angles and a corresponding non-included side of another triangle, then the two triangles are congruent.

Front

How do you classify a triangle with angles measuring 90°, 45°, and 45°?

Back

It is classified as a Right Isosceles triangle.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180°.

Front

If two triangles have two pairs of equal angles, what can be concluded about the triangles?

Back

The triangles are congruent by the AA (Angle-Angle) criterion.

Front

What is the relationship between corresponding sides of congruent triangles?

Back

The corresponding sides of congruent triangles are equal in length.

Front

What is the definition of an isosceles triangle?

Back

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