Related Topics:

More Math Worksheets

More Printable Math Worksheets

7th Grade Math

Examples, solutions, videos, and worksheets to help grade 7 students explore the conditions for triangle congruence: SSS, SAS, AAS, ASA and HL.

Printable “Triangle” Worksheets:

Triangle Sum Theorem

Exterior Angle Theorem

Triangle Correspondence

Explore Triangle Congruence

Explore SSA Triangle Congruence

Identify Congruent Triangles

Identifying congruent triangles involves using the triangle congruence criteria or congruence postulates to determine if two triangles are identical in shape and size.

Congruence Criteria

- Side-Side-Side (SSS)

If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent. - Side-Angle-Side (SAS)

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. - Angle-Side-Angle (ASA)

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. - Angle-Angle-Side (AAS)

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. - Hypotenuse-Leg (HL)

Applicable only to right triangles: if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.

The condition Side-Side-Angle only gives a unique triangle

- when the angle is 90° or greater or
- when the side adjacent to the angle is shorter than the side opposite the angle.

Have a look at this video if you need to review how to identify congruent triangles.

Click on the following worksheet to get a printable pdf document.

Scroll down the page for more **Identify Congruent Triangles Worksheets**.

**Printable**

(Answers on the second page.)

Identify Congruent Triangles Worksheet #1

Identify Congruent Triangles Worksheet #2

Identify Congruent Triangles Worksheet #3

Identify Congruent Triangles Worksheet #4 (include vertical angles)

**Online**

Angles in a Triangle 1

Angles in a Triangle 2

Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.