Identify Congruent Triangles Worksheets

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

How to 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

1. Side-Side-Side (SSS)
   If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.
   
2. 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.
   
3. 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.
   
4. 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.
   
5. 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.

• How to identify congruent triangles?

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

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