Congruent Triangles

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$LMN\,$ is a triangle. $NRQP\,$ is a parallelogram such that $P\,$ is the midpoint of $L M$ , $Q\,$ is the midpoint of $L N$ , and $R\,$ is the midpoint of $M N$ .

Diagram of triangle LMN with midpoints P, Q, and R.

Prove that triangle $LPQ\,$ is congruent to triangle $P M R$ .

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Congruent Triangles Questions

Practise AQA GCSE Maths Congruent Triangles with exam-style questions for Foundation and Higher tier. 28 questions, matched to the AQA GCSE Maths (8300) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.