Chapter 4 review - Congruent Triangles

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

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 HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a criterion for triangle congruence applicable to right triangles, where the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle.

Front

What additional information is needed for two triangles to be congruent by SAS?

Back

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

Front

If two triangles have one pair of equal angles and the sides opposite those angles are equal, what can be concluded?

Back

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

Front

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

Back

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

Front

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

Back

By showing that all three sides of one triangle are equal to the three sides of another triangle.

Front

What is the measure of the angles in a triangle?

Back

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

Front

If two angles of one triangle are equal to two angles of another triangle, what can be concluded?

Back

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

Front

What is the relationship between corresponding sides of congruent triangles?

Back

The corresponding sides of congruent triangles are equal in length.