How many Congruent Triangles practice questions are there?

There are 43 self-marking GCSE Maths questions on Congruent Triangles, written for AQA, Pearson, OCR across Foundation and Higher tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise Congruent Triangles?

No. You can start practising Congruent Triangles straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.

Congruence and similarity

Congruent Triangles

Q: What are the common mistakes in Congruent Triangles?

Misapplies the ASA (angle-side-angle) congruence criterion Misapplies the RHS (right angle-hypotenuse-side) congruence criterion Misapplies the SAS (side-angle-side) congruence criterion

43 self-marking GCSE practice questions on Congruent Triangles, written specifically for AQA, Pearson, OCR across Foundation and Higher tier. Instant marking with full worked solutions on every question.

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Sample Congruent Triangles questions

A few of the 43 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

Question 11 markGrade 4-6
Triangle ABC is right-angled at B, with hypotenuse AC = 12 cm and side AB = 9 cm. Triangle DEF is right-angled at E, with hypotenuse DF = 12 cm and side DE = 9 cm. Which congruence criterion (SSS, SAS, ASA, or RHS) shows that triangle ABC is congruent to triangle DEF? If the triangles cannot be shown congruent from the information given, write "cannot be shown congruent from this information".
Show the worked solution
Both triangles are right-angled, and the hypotenuse and one other side match. This is the RHS (right angle-hypotenuse-side) congruence criterion.
Question 21 markGrade 4-6
Triangle PQR has sides PQ = 6 cm, QR = 9 cm, PR = 12 cm. Triangle XYZ has sides XY = 6 cm, YZ = 9 cm, XZ = 12 cm. Which congruence criterion (SSS, SAS, ASA, or RHS) shows that triangle PQR is congruent to triangle XYZ? If the triangles cannot be shown congruent from the information given, write "cannot be shown congruent from this information".
Show the worked solution
All three sides of one triangle match all three sides of the other, in the same correspondence. This is the SSS (side-side-side) congruence criterion.
Question 3

What are the common mistakes in Congruent Triangles?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

Misapplies the ASA (angle-side-angle) congruence criterion
ASA requires two angles and a side to match - check the information given more carefully.
Misapplies the RHS (right angle-hypotenuse-side) congruence criterion
RHS only applies to right-angled triangles, matching the hypotenuse and one other side - check whether a right angle is actually given.
Misapplies the SAS (side-angle-side) congruence criterion
SAS requires two sides AND the angle between them (the included angle) to match - check the information given more carefully.

Quick answers about Congruent Triangles

How many Congruent Triangles practice questions are there?: There are 43 self-marking GCSE Maths questions on Congruent Triangles, written for AQA, Pearson, OCR across Foundation and Higher tier. Each one is marked instantly and has a full worked solution.
Do I need an account to practise Congruent Triangles?: No. You can start practising Congruent Triangles straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.