Chapter 6: Quadrilaterals

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Chapter 6 Quadrilaterals

• 6.4
• Special Parallelograms

2
Review
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Theorem 6-9

• Each diagonal of a rhombus bisects two angles of
  the rhombus.

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Theorem 6-10

• The diagonals of a rhombus are perpendicular.

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Example 1

• MNPQ is a rhombus. Find the measures of the
  numbered angles.

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Example 1a

• Find the measures of the numbered angles in the
  rhombus.

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Theorem 6-11

• The diagonals of a rectangle are congruent.

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Example 2

• Find the length of FD in the rectangle if
• FD 2y 4 and GE 6y 5.

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Theorem 6-12

• If one diagonal of a parallelogram bisects two
  angles of the parallelogram, then the
  parallelogram is a rhombus.
• (converse of Th. 6-9)

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Theorem 6-13

• If the diagonals of a parallelogram are
  perpendicular, then the parallelogram is a
  rhombus.
• (converse of 6-10)

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Theorem 6-14

• If the diagonals of a parallelogram are
  congruent, then the parallelogram is a rectangle.
• (converse of Th. 6-11)

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Example 3

• Is the parallelogram a rhombus or a rectangle or
  neither?

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Example 3

• Is the parallelogram a rhombus or a rectangle or
  neither?

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Homework

• P. 332
• 2-18 even, 22, 40, 44, 46, 50, 52