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Consider the figure on the left. Which lines are perpendicular?

Consider the figure on the left. Which lines are perpendicular?-example-1
User Cesarmart
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To find which of these lines are perpendicular, find the slope of each line.

To do it, use 2 points on the line and the following formula:


m=(y2-y1)/(x2-x1)

AB:


m=(5-2)/(4-(-5))=(3)/(9)=(1)/(3)

BC:


m=(-1-5)/(5-4)=-6

CD:


m=(-1-(-4))/(5-(-3))=(3)/(7)

DA:


m=(-4-2)/(-3-(-5))=-(6)/(2)=-3

For 2 lines to be perpendicular, the product of their slopes must be -1. According to this the only pair that meets this condition is AB, DA.


m=(1)/(3)\cdot-3=-1

Segment AB and DA are perpendicular.

User Alisabeth
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