8'4 Rectangles, Rhombi, and Squares

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8.4 Rectangles, Rhombi, and Squares

• Relations of Quadrilaterals

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Example 1

• Identify the parallelograms below.

Square Rectangle Rhombus
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Theorem 8-10

• The diagonals of a Rectangle are congruent.

A B C D
AD BC
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Theorem 8-11

• The diagonals of a rhombus are perpendicular

A B D
C
AD __ BC
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Theorem 8-12

• Each Diagonal of a rhombus bisects a pair of
  opposite angles.

A B C
2 3 4
1
5
8
6
7
D
m lt 1 m lt 2, m lt 3 mlt 4, mlt 5 mlt 6,
m lt 7 m lt 8
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Example 2

• Find XZ in square XYZW if YW 14

Y Z X W
O
Since the square has all the properties of a
rectangle XZ is Also 14
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Example 3

• Find m lt YOX in Square XYZW

Y Z X W
O
A square has same properties as a rhombus, so m lt
YOX Is 90 degrees.
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Homework

• Pages 330-331
• 4-44 all