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Chapter 6

Chapter 6 . 6-6 Properties of kites and trapezoids. Objectives. Use properties of kites to solve problems. Use properties of trapezoids to solve problems. Kite . A kite is a quadrilateral with exactly two pairs of congruent consecutive sides. Properties . Problem solving application.

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Chapter 6

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  1. Chapter 6 6-6 Properties of kites and trapezoids

  2. Objectives Use properties of kites to solve problems. Use properties of trapezoids to solve problems.

  3. Kite • A kiteis a quadrilateral with exactly two pairs of congruent consecutive sides.

  4. Properties

  5. Problem solving application • 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?

  6. Lucy’s Kite

  7. 1 Make a Plan Understand the Problem 2 SOlution • The answer will be the amount of wood Lucy has left after cutting the dowel.

  8. The diagonals of a kite are perpendicular, so the four triangles are right triangles. Let N represent the intersection of the diagonals. Use the Pythagorean Theorem and the properties of kites to find , and . Add these lengths to find the length of .

  9. 3 Solve

  10. solution Lucy needs to cut the dowel to be 32.4 cm long. The amount of wood that will remain after the cut is, 36 – 32.4  3.6 cm Lucy will have 3.6 cm of wood left over after the cut.

  11. Example 2A: Using Properties of Kites • In kite ABCD, mDAB = 54°, and mCDF = 52°. Find mBCD.

  12. Solution • ADC  ABC Kite  one pair opp. s  • mADC = mABCDef. of s

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