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Exam-Style Questions on Congruency

Problems on Congruency adapted from questions set in previous Mathematics exams.

1.

GCSE Higher

Prove that triangle ABC is congruent to triangle CDA if ABCD is a parallelogram.

Parallelogram

2.

GCSE Higher

ABCD is a parallelogram with diagonals meeting at E. Prove that triangle ABE is congruent to triangle CDE.

Parallelogram

3.

GCSE Higher

ABC is an isosceles triangle in which AB = AC.

AD = AE.

Prove that triangle ABD is congruent to triangle ACE.

Triangle

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The exam-style questions appearing on this site are based on those set in previous examinations (or sample assessment papers for future examinations) by the major examination boards. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper.

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