10.2 Slope and Perpendicular Lines p 509

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10.2 Slope and Perpendicular Lines p 509
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• Two nonvertical lines are perpendicular if and
  only if the product of their slopes is -1.

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to prove the slope criteria for perpendicular
lines.

• First prove that if two lines are perpendicular,
  then the product of their slopes is -1.
• Suppose lines m and n are perpendicular lines
  that intersect at point R and that neither line
  is vertical. Assume the slope of line m is
  positive. (You can write a similar proof if the
  slope of line m is negative.)

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• Copy the figure on a separate piece of paper.
  Mark your figure to show the perpendicular lines.
  

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Show that each figure is the given type of
quadrilateral. Show that DEFG is a rectangle.
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• Determine whether the quadrilateral with the
  given vertices is a parallelogram. If so,
  determine whether it is a rhombus, a rectangle,
  or neither. Justify your conclusions. (Hintz
  Recall that a parallelogram with perpendicular
  diagonals is a rhombus.)
• 1. Quadrilateral ABCD with A(-3, 0), B(1, 2),
  C(2,0), and D(-2, - 2)

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• 2. Quadrilateral FGHJ withF(-2,3), G(1, 2), H(2,
  1) and J( 1, 0)