Chapter 5: Triangle Congruence Theorems Review

Front

What is the definition of triangle congruence?

Back

Triangle congruence means that two triangles are identical in shape and size, which can be proven using various congruence theorems.

Front

List the three main triangle congruence theorems.

Back

1. Side-Side-Side (SSS) Congruence Theorem 2. Side-Angle-Side (SAS) Congruence Theorem 3. Angle-Side-Angle (ASA) Congruence Theorem.

Front

What does the Side-Side-Side (SSS) Congruence Theorem state?

Back

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

Front

What does the Side-Angle-Side (SAS) Congruence Theorem state?

Back

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

Front

What does the Angle-Side-Angle (ASA) Congruence Theorem state?

Back

If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent.

Front

What is the significance of corresponding parts of congruent triangles?

Back

Corresponding parts of congruent triangles are equal, meaning that if two triangles are congruent, all their corresponding sides and angles are also equal.

Front

How can you determine if two triangles are congruent using the Hypotenuse-Leg (HL) theorem?

Back

The HL 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 two triangles are congruent.

Front

What is the relationship between the angles and sides in congruent triangles?

Back

In congruent triangles, corresponding angles are equal, and corresponding sides are proportional.

Front

How do you solve for a missing angle in congruent triangles?

Back

To solve for a missing angle in congruent triangles, use the fact that the sum of angles in a triangle is 180 degrees and apply the congruence properties.

Front

What is the purpose of using congruence theorems in geometry?

Back

Congruence theorems are used to prove that two triangles are congruent, which helps in solving various geometric problems and applications.