Dive into the world of geometry and put your knowledge of triangle congruence to the test. This quiz will challenge your understanding of the various criteria and methods used to prove that triangles are congruent. Whether you’re a geometry enthusiast or a student looking to reinforce your skills, these questions will help you master the principles of triangle congruence. Good luck, and may your angles always add up!

We recommend that you do not leave the page that you are taking this quiz in. Stay honest 🙂

## Triangle Congruence Proofs Quiz Questions Overview

### 1. Which of the following is NOT a criterion for triangle congruence?

Side-Angle-Side (SAS)

Angle-Side-Angle (ASA)

Side-Side-Side (SSS)

Angle-Angle-Angle (AAA)

### 2. In the Side-Angle-Side (SAS) criterion, what must be true about the angle?

The angle must be between the two sides.

The angle must be adjacent to one of the sides.

The angle must be opposite one of the sides.

The angle can be anywhere in the triangle.

### 3. Which of the following pairs of triangles are congruent by the Hypotenuse-Leg (HL) theorem?

Two right triangles with one equal leg and equal hypotenuses.

Two right triangles with two equal legs.

Two right triangles with one equal leg and one equal angle.

Two right triangles with equal hypotenuses only.

### 4. What does the Angle-Side-Angle (ASA) criterion state?

Two triangles are congruent if two angles and the included side are equal.

Two triangles are congruent if two angles and any side are equal.

Two triangles are congruent if two sides and the included angle are equal.

Two triangles are congruent if all three angles are equal.

### 5. Which criterion can be used to prove the congruence of two triangles if only the sides are known?

Side-Side-Side (SSS)

Side-Angle-Side (SAS)

Angle-Side-Angle (ASA)

Angle-Angle-Side (AAS)

### 6. In the Angle-Angle-Side (AAS) criterion, what must be true about the side?

The side must be adjacent to one of the angles.

The side must be opposite one of the angles.

The side can be anywhere in the triangle.

The side must be between the two angles.

### 7. Which of the following is true about the Hypotenuse-Leg (HL) theorem?

It applies to all triangles.

It applies only to right triangles.

It applies to isosceles triangles.

It applies to equilateral triangles.

### 8. If two triangles have two pairs of corresponding angles equal, what can be said about the triangles?

The triangles are congruent by ASA.

The triangles are similar.

The triangles are congruent by SSS.

The triangles are congruent by AAS.

### 9. Which criterion involves proving congruence through two angles and a non-included side?

ASA

SSS

AAS

SAS

### 10. Which of the following is true about congruent triangles?

They have equal corresponding angles and sides.

They have equal corresponding angles but different sides.

They have equal sides but different angles.

They are always right triangles.

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