Congruent Triangles

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$XYZ\,$ is a triangle. $ZBAC\,$ is a parallelogram such that $A\,$ is the midpoint of $X Y$ , $B\,$ is the midpoint of $X Z$ , and $C\,$ is the midpoint of $Y Z$ .

Diagram of triangle XYZ with midpoints A, B, and C.

Prove that triangle $XAB\,$ is congruent to triangle $A Y C$ .

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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.