Chapter 4.2, Problem 27E

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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.*

In a kite, one diagonal is the perpendicular bisector of the other diagonal.

To determine

A formal proof of the theorem ‘In a kite, one diagonal is the perpendicular bisector of the other diagonal’.

Explanation

Formal proof,

Statement:

In a kite, one diagonal is the perpendicular bisector of the other diagonal.

Drawing:

Given:

ABCD is a kite with diagonals AC and BD which intersect at â€˜Oâ€™.

Prove:

PROOF | |

Statements | Reasons |

1. ABCD is a kite with AC and BD as diagonals that intersect at â€˜Oâ€™ |
1. Given |

2. |
2. Two pairs of the adjacent sides of a kite are congruent |

3. |
3. Identity. |

4. |
4 |

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