Congruent Triangles Practice

Front

What are congruent triangles?

Back

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

Front

What is the symbol used to denote congruence between triangles?

Back

The symbol for congruence is '≅'. For example, if triangle ABC is congruent to triangle DEF, it is written as ΔABC ≅ ΔDEF.

Front

What is the Side-Side-Side (SSS) Congruence Postulate?

Back

The SSS Congruence Postulate states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

What is the Side-Angle-Side (SAS) Congruence Postulate?

Back

The SAS Congruence Postulate states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the Angle-Side-Angle (ASA) Congruence Postulate?

Back

The ASA Congruence Postulate states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the Angle-Angle-Side (AAS) Congruence Theorem?

Back

The AAS Congruence Theorem states 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, then the triangles are congruent.

Front

What is the Hypotenuse-Leg (HL) Congruence Theorem for right triangles?

Back

The HL Congruence 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, then the triangles are congruent.

Front

How do you identify corresponding sides in congruent triangles?

Back

Corresponding sides in congruent triangles are the sides that are equal in length and are opposite the corresponding angles that are equal.

Front

How do you identify corresponding angles in congruent triangles?

Back

Corresponding angles in congruent triangles are the angles that are equal in measure and are opposite the corresponding sides that are equal.

Front

What is the importance of congruence in geometry?

Back

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