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**Unit 8 Part 3 Properties of Quadrilaterals**

Trapezoids, Isosceles Trapezoids and Kites

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Parts of a Trapezoid

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Trapezoid Is a quadrilateral with only one set of parallel sides. (bases) Base1 height Base2

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Isosceles Trapezoid Is a quadrilateral with one set of parallel sides and the other two sides are congruent but not parallel.

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**Isosceles Trapezoid One set of opposite sides are parallel.**

One set of opposite sides are congruent but not parallel. Base angles are congruent. A Base1 + Base2 angle equal 180° Diagonals are congruent but do not bisect each other.

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**Parts of an Isosceles Trapezoid**

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**The median of a Trapezoid**

Median = ½ the sum of the parallel sides. The median is parallel to the other parallel sides.

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**Example Find the value of ‘x’ if RA is the median.**

What is the coordinate of point A? (4x-10) (4, 5) F D R A I Y 13 (2, 3) (3x+8)

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**Example Determine the measure of each angle. m∠1 = 133° m∠2 = 133°**

47° 3

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**Kite Two sets of sides are congruent.**

The diagonals intersect at 90 degrees and only one of them is bisected. Two sets of congruent triangles are formed by the diagonals.

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Kite

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**Example Calculate the length of AD Given AB = 2x – 3 BC = 5x – 12**

DA = x + 2 B A C D

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**Example Find the measure of ∠1, ∠2, and ∠3 m∠1 = 63° m∠2 = 90°**

27° 1 2 34° 3

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