Triangle Congruence Practice

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 the ASA congruence theorem state?

Back

The ASA (Angle-Side-Angle) congruence theorem 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 does the SAS congruence theorem state?

Back

The SAS (Side-Angle-Side) congruence theorem 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 does the HL congruence theorem state?

Back

The HL (Hypotenuse-Leg) 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 can you denote the congruence of two triangles?

Back

You can denote the congruence of two triangles using the congruence symbol (≅) followed by the names of the triangles in corresponding order, e.g., ΔABC ≅ ΔXYZ.

Front

What is the significance of the order of letters in a congruence statement?

Back

The order of letters in a congruence statement indicates which vertices correspond to each other in the congruent triangles.

Front

What is the definition of corresponding parts of congruent triangles?

Back

Corresponding parts of congruent triangles are the sides and angles that are equal in measure between the two triangles.

Front

What is the SSS congruence theorem?

Back

The SSS (Side-Side-Side) congruence theorem states that if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means that triangles are the same size and shape, while similarity means that triangles have the same shape but may be different sizes.

Front

What is the purpose of triangle congruence theorems?

Back

Triangle congruence theorems are used to prove that two triangles are congruent based on certain criteria, which helps in solving geometric problems.