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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
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 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)
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