## 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.

## 2. | GCSE Higher |

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

## 3. | GCSE Higher |

ABC is an isosceles triangle in which AB = AC.

AD = AE.

Prove that triangle ABD is congruent to triangle ACE.

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