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Congruent Triangles

Recognise the criteria for the congruence of triangles and solve related problems.

Pairs Level 1 Level 2 Level 3 Similar Shapes Exam-Style Description Help More Geometry

This is level 1; Determining whether two triangles are congruent and finding the reason. The diagrams are not drawn to scale.

For each pair of triangles select the correct description of congruency.

1.Triangles 1

Correct Wrong

2.Triangles 2

Correct Wrong

3.Triangles 3

Correct Wrong

4.Triangles 4

Correct Wrong

5.Triangles 5

Correct Wrong

6.Triangles 6

Correct Wrong

7.Triangles 7

Correct Wrong

8.Triangles 8

Correct Wrong

9.Triangles 9

Correct Wrong

10.Triangles 10

Correct Wrong
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This is Congruent Triangles level 1. You can also try:
Level 2 Level 3

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Description of Levels

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Pairs - The classic pairs game with simple congruent shapes.

Level 1 - Determining whether two triangles are congruent and finding the reason

Level 2 - Further questions on recognising congruency ordered randomly

Level 3 - Use your knowledge of congruent triangles to find lengths and angles

Similar Shapes - Similarity is a related concept.

Exam Style Questions - A collection of problems in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers).

More Geometry including lesson Starters, visual aids, investigations and self-marking exercises.

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Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

Video

Quick Reference

The following conditions guarantee congruence:

SSS - Given the lengths of all three sides.

SAS - Given two sides and the included angle.

ASA or AAS - Given two angles and any side.


The following is a set of conditions that does not guarantee congruence:

ASS - Given two sides and an angle that is not included between them. However congruence could be confirmed if the angle is a right angle (RHS - right-angle, hypotenuse, side) or an obtuse angle or if the side not adjacent to the angle is longer than the side that is adjacent.


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