Chapter 4.2, Problem 26E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

*In Exercises 25 to 28, write a formal proof of each theorem or corollary.*

If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

To determine

**To write:**

A formal proof of the theorem ‘If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram”.

Explanation

Formal proof,

Statement:

If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

Drawing:

Given:

ABCD is a quadrilateral with diagonals AC and BD which bisect at â€˜

Prove:

ABCD is a parallelogram.

PROOF | |

Statements | Reasons |

1. ABCD is a quadrilateral with diagonals AC and BD which intersect at; |
1. Given |

2. |
2 |

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