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6.5 Trapezoids and kites

6.5 Trapezoids and kites. Base angles Isosceles trapezoids Midsegments. Trapezoid definition. A Trapezoid is a quadrilateral with only one pair of parallel sides. Isosceles Trapezoids. Isosceles Trapezoids have congruent legs. Theorem.

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6.5 Trapezoids and kites

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  1. 6.5 Trapezoids and kites Base angles Isosceles trapezoids Midsegments

  2. Trapezoid definition A Trapezoid is a quadrilateral with only one pair of parallel sides.

  3. Isosceles Trapezoids Isosceles Trapezoids have congruent legs.

  4. Theorem In a Isosceles Trapezoid each pair of base angles are congruent.

  5. Theorem If a pair of base angles in a trapezoid are congruent, then the trapezoid is an isosceles trapezoid.

  6. Theorem In an Isosceles trapezoid the diagonals are congruent.

  7. Definition of a Midsegment Midsegment connect the midpoints of the legs.

  8. Theorem The Midsegment equal half the parallel sides sum.

  9. Solve for NO = The Midsegment equal half the parallel sides sum.

  10. Definition of a Kite A kite is a quadrilateral with two distinct pairs of adjacent sides that are congruent.

  11. Theorem Diagonals in a kite are perpendicular.

  12. Theorem In a Kite, exactly one pair of opposite angles are congruent.

  13. Homework Page 359 – 362 # 10 – 24 even, 25 – 27 , 28 – 38 even

  14. Homework Page 359 – 362 # 11 – 23 odd, 31, 33 , 35, 37, 39, 48 -52

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