Question 117665:
27. Geometry. Floor plans for a building have the four corners of a room located at the points (2, 3), (11, 6), (-3, 18), and (8, 21). Determine whether the side through the points (2, 3) and (11, 6) is parallel to the side through the points (-3, 18) and (8, 21).
28. Geometry. For the floor plans given in exercise 27, determine whether the side through the points (2, 3) and (11, 6) is perpendicular to the side through the points (2, 3) and (-3, 18).
Can you help me solve for #28 please
Answer by checkley71(8403)   (Show Source):
You can put this solution on YOUR website! If the lines through these 2 sets of points then their slope will be equal:
(6-3)/(11-2)=3/9=1/3
(21-18)/(8+3)=3/11
These slopes are not equal therefore the sides are not parallel.
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For these sides to be perpendicular their slopes must be negative recipricals of each other:
(6-3)/(11-2)=3/9=1/3
(18-3)/(-3-2)=15/-5=-3
These 2 slopes are negative recipricals of each other therefore the sides are perpendicular.
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