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Congruent TrianglesRecognise the criteria for the congruence of triangles and solve related problems. |
This is level 1; Determining whether two triangles are congruent and finding the reason. The diagrams are not drawn to scale. Lengths and angles are not always shown in proportion.
For each pair of triangles select the correct description of congruency.
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Featured ActivityHi-Low Predict A version of the Play Your Cards Right TV programme. Calculate the probabilities of cards being higher or lower than the one shown. a fun way to practise applying probability and using fractions. |
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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.
Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.
See the National Curriculum page for links to related online activities and resources.
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.
Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.
Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.
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