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Warm Up

Quadrilateral ABCD is a rhombus. Find the indicated measures. Given: AB = 2x + 3 and BC = 5x. 1. Solve for x. Warm Up. A. B. E. D. C. Section 8.5 Properties of Trapezoids and Kites. Polygons. Quadrilaterals. Parallelograms. Trapezoids. Kites. Isosceles Trapezoids. Rectangles.

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Warm Up

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  1. Quadrilateral ABCD is a rhombus. Find the indicated measures. Given: AB = 2x + 3 and BC = 5x. 1. Solve for x. Warm Up A B E D C

  2. Section 8.5Properties of Trapezoids and Kites

  3. Polygons Quadrilaterals Parallelograms Trapezoids Kites IsoscelesTrapezoids Rectangles Rhombus Squares

  4. Trapezoid A trapezoid is a quadrilateral with exactly one pair of parallel sides. B A D C

  5. Parts of a trapezoid The parallel lines are the bases • The nonparallel lines are the legs base A B Base Angles Base Angles leg leg Base Angles Base Angles D C base

  6. Isosceles Trapezoid Exactly one pair of parallel sides. A D The legs of a trapezoid are congruent A A D D A D Each pair of base angles is congruent B C Diagonals are congruent. C C C B B B

  7. Examples

  8. Trapezoid Activity Label the midpoints M and N.

  9. Mid-segment Theorem for Trapezoids D A Midsegment E F B C

  10. Examples

  11. Polygons Exactly one pair of parallel sides Quadrilaterals Parallelograms Trapezoids IsoscelesTrapezoids Rectangles Rhombi Exactly one pair of parallel sides Congruent legs Squares Base angles are congruent Diagonals are congruent

  12. Homeworktextbook p. 5461, 7-15, 16

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