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Identify Congruent Triangles

In this worksheet, students will identify congruent triangles and give reasons for their congruence.

'Identify Congruent Triangles ' worksheet

Key stage:  KS 3

Year:  Year 9 Maths worksheets

Curriculum topic:   Geometry and Measures

Curriculum subtopic:   Apply Facts About Angles and Sides

Popular topics:   Geometry worksheets

Difficulty level:  

Worksheet Overview

Triangles that are exactly the same shape and size are congruent.

Note: this also applies to shapes other than triangles.

 

Triangles are congruent for the following reasons:

 

Three matching sides (SSS)

 

congruent triangles

 

 

Two matching sides and the angle between them (SAS)

 

congruent triangles

 

 

Two matching angles and a corresponding side (AAS)

 

congruent triangles

 

 

In a right-angled triangle, the hypotenuse and one matching side (RHS)

 

congruent triangles

 

 

Now it's over to you. In this activity, we will identify congruent triangles and give reasons as to why they are in fact, congruent. 

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