Trapezoids and Kites

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Section 6-5

• Trapezoids and Kites

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Trapezoid

• A quadrilateral with exactly one pair of parallel
  sides.

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• The parallel sides are called the
  bases.
• The nonparallel sides are called the legs.
• A trapezoid has two pairs of base angles.

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Base
Base
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Isosceles Trapezoid

• A trapezoid whose legs are congruent.

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Theorem 6-14

• If a trapezoid is isosceles, then each pair of
  base angles is congruent.

Therefore
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Theorem 6-15

• If a trapezoid has a pair of congruent base
  angles, then it is an isosceles trapezoid.

Therefore
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Theorem 6-16

• A trapezoid is isosceles if and only if its
  diagonals are congruent.

Therefore
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MIDSEGMENT of a trapezoid

• The segment that connects the midpoints of its
  legs.

Midsegment
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Theorem 6-17

• The midsegment of a trapezoid is parallel to each
  base and its length is one half the sum of the
  lengths of the bases.

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