Rhombuses, Rectangles,

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Rhombuses, Rectangles, Squares Sec 6.4
Continued

• GOALS
• To use properties of diagonals for the rhombus,
  rectangle, and square

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Theorem 6.11

• A parallelogram is a rhombus if and only if its
  diagonals are perpendicular.

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Theorem 6.12

• A parallelogram is a rhombus if and only if each
  diagonal bisects a pair of opposite angles.

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Theorem 6.13
A parallelogram is a rectangle if and only if its
diagonals are congruent.
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Example

• PQRS is a parallelogram.
• Find x

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Example

• PQRS is a rhombus.
• Find x

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Example
WXYZ is a rectangle. The perimeter is triangle
XYZ is 24. XYYZ 5x1 and XZ 13-x. Find WY.
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Homework

• Page 353- See assignment guide