Properties of Kites and Trapezoids

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Properties of Kites and Trapezoids

• Chapter 6 Section 6

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Objectives

• Use properties of kites to solve problems.
• Use properties of trapezoids to solve problems.

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Vocabulary

• kite
• trapezoid
• base of a trapezoid
• leg of a trapezoid
• base angle of a trapezoid
• isosceles trapezoid
• midsegment of a trapezoid

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Kite

• A kite is a quadrilateral with exactly two pairs
  of congruent consecutive sides.

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Properties of Kites
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Example 1

• Lucy is framing a kite with wooden dowels. She
  uses two dowels that measure 18 cm, one dowel
  that measures 30 cm, and two dowels that measure
  27 cm. To complete the kite, she needs a dowel to
  place along . She has a dowel that is 36 cm
  long. About how much wood will she have left
  after cutting the last dowel?

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Example 2

• What if...? Daryl is going to make a kite by
  doubling all the measures in the kite. What is
  the total amount of binding needed to cover the
  edges of his kite? How many packages of binding
  must Daryl buy?

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Example 3

• In kite ABCD, m?DAB 54, and m?CDF
  52. Find m?BCD.

In kite ABCD, m?DAB 54, and m?CDF
52. Find m?FDA.
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Trapezoid

• A trapezoid is a quadrilateral with exactly one
  pair of parallel sides. Each of the parallel
  sides is called a base. The nonparallel sides are
  called legs. Base angles of a trapezoid are two
  consecutive angles whose common side is a base.

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Example 4

• Find m?A.

• KB 21.9m and MF 32.7. Find FB.

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Example 6 7

• Find the value of x so that PQST is isosceles.

• AD 12x 11, and BC 9x 2. Find the value of
  x so that ABCD is isosceles.