Ch. 4: 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 are the three types of triangle transformations?

Back

Reflection, Translation, and Rotation.

Front

What is the distance formula used for?

Back

Front

How do you classify triangles based on their sides?

Back

1. Equilateral: All sides are equal. 2. Isosceles: Two sides are equal. 3. Scalene: All sides are different.

Front

How do you classify triangles based on their angles?

Back

1. Acute: All angles are less than 90 degrees. 2. Right: One angle is exactly 90 degrees. 3. Obtuse: One angle is greater than 90 degrees.

Front

What is the Angle-Angle (AA) criterion for triangle similarity?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

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

Back

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

Front

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

Back

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

Front

What is the purpose of using congruence statements?

Back

Front

What is a transformation in geometry?

Back

A change in the position, size, or shape of a figure, including translations, rotations, reflections, and dilations.