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Geometry Section 8.5

Geometry Section 8.5. Use Properties of Trapezoids and Kites. Quadrilateral with exactly one pair of parallel sides (bases) If the legs of a trapezoid are congruent, then it is an isosceles trapezoid. Trapezoid. base. leg. leg. base. Base angles.

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Geometry Section 8.5

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  1. GeometrySection 8.5 Use Properties of Trapezoids and Kites

  2. Quadrilateral with exactly one pair of parallel sides (bases) If the legs of a trapezoid are congruent, then it is an isosceles trapezoid Trapezoid base leg leg base Base angles

  3. If a trapezoid is isosceles, then each pair of base angles is congruent Isosceles Trapezoid Theorems

  4. If a trapezoid has a pair of congruent base angles, then it is and isosceles trapezoid.

  5. A trapezoid is isosceles iff its diagonals are congruent.

  6. The segment that connects the midpoints of its legs Midsegment of a trapezoid

  7. The midsegment of a trapezoid is parallel to each base and its length is one half the sum of the lengths of the bases Midsegment Theorem for Trapezoids

  8. A quadrilateral that has two pairs of consecutive congruent sides, but opposite sides are not congruent Kite

  9. If a quadrilateral is a kite, then its diagonals are perpendicular Kite Diagonal Theorem

  10. If a quadrilateral is a kite, then exactly one pair of opposite angles are congruent Theorem

  11. Examples • Classzone

  12. Assignment • Section 8.5 • Page 546 • Problems #4 – 26 even, 34, 36

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