Front

What is the definition of congruent triangles?

Back

Triangles that have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What does the acronym SSS stand for in triangle congruence?

Back

Side-Side-Side: A postulate stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does the acronym SAS stand for in triangle congruence?

Back

Side-Angle-Side: A postulate stating that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What does the acronym ASA stand for in triangle congruence?

Back

Angle-Side-Angle: A postulate stating that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What does the acronym AAS stand for in triangle congruence?

Back

Angle-Angle-Side: A postulate stating that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, the triangles are congruent.

Front

What are corresponding angles?

Back

Angles that are in the same relative position in two different geometric figures.

Front

What are corresponding sides?

Back

Sides that are in the same relative position in two different geometric figures.

Front

What is the significance of congruence statements?

Back

Congruence statements indicate which parts of two triangles are congruent, helping to establish their equality.

Front

If two triangles are congruent, what can be said about their corresponding angles?

Back

All corresponding angles are congruent.

Front

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

Back

The triangles are similar, but not necessarily congruent unless the sides are also proportional.