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Section 8.5 – Use Properties of Trapezoids and Kites

Section 8.5 – Use Properties of Trapezoids and Kites. Trapezoids. Quadrilaterals with exactly one pair of parallel sides Parts of a trapezoid: Bases – the parallel sides Legs – nonparallel sides Base angles - . Example . Show that QRST is a trapezoid. Isosceles trapezoid.

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Section 8.5 – Use Properties of Trapezoids and Kites

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  1. Section 8.5 – Use Properties of Trapezoids and Kites

  2. Trapezoids • Quadrilaterals with exactly one pair of parallel sides • Parts of a trapezoid: • Bases – the parallel sides • Legs – nonparallel sides • Base angles -

  3. Example • Show that QRST is a trapezoid

  4. Isosceles trapezoid • Trapezoid where the legs are congruent • Properties: • Base angles are congruent • Diagonals are congruent • Legs are congruent

  5. Example

  6. Midsegment of a Trapezoid • Connects the midpoints of the legs of a trapezoid • MN is the midsegment of the following trapezoid:

  7. Example • Find the length of MN for the following trapezoid

  8. Kites • A quadrilateral that has two pairs of congruent sides • Opposite sides are NOT congruent • Properties • Diagonals are perpendicular • Exactly one pair of opposite angles are congruent

  9. Example • Find the measure of angle D

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