Triangle Congruence

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What is the SAS criterion for triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence 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 is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence 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 is the definition of the Hypotenuse-Leg (HL) theorem?

Back

The Hypotenuse-Leg theorem states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.

Front

What is the importance of triangle congruence in geometry?

Back

Triangle congruence is important in geometry because it allows us to determine that two triangles are identical in shape and size, which is essential for solving problems involving measurements and constructions.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence 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

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

Back

To prove that two triangles are congruent using the SSS criterion, measure the lengths of all three sides of both triangles and show that they are equal.

Front

What is the relationship between congruent triangles and their corresponding parts?

Back

If two triangles are congruent, then their corresponding parts (sides and angles) are also congruent.

Front

What is the definition of a triangle?

Back

A triangle is a polygon with three edges and three vertices, and the sum of its interior angles is always 180 degrees.