Properties of Trapezoids and Kites (8



Properties of Trapezoids and Kites (8.5)

A Trapezoid is a quadrilateral with exactly ___ pair of parallel sides.

1. The parallel sides are called the _____________.

2. The non-parallel sides are called the ____________.

3. The trapezoid has 2 pairs of base angles. Each pair share a side that is a base.

Theorem 8.14 – Theorem 8.16

|[pic] |[pic] |[pic] |

| | | |

Theorem 8.17 – Midsegment Theorem for Trapezoids

The Midsegment of a Trapezoid is:

1. Parallel to Each Base

2. Has a length equal to [pic] the sum of the length of its bases

(its length is the average of the bases).

A Kite is a quadrilateral that has two pairs of congruent sides

BUT opposite sides are not congruent

|The diagonals are perpendicular. |[pic] |

|(Theorem. 8.18) | |

|Exactly one pair of opposite angles are congruent. |[pic] |

|(Theorem. 8.19) | |

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