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amm1812
3 years ago
9

The slope of PQ¯¯¯¯¯ is 52 .

Mathematics
1 answer:
Goryan [66]3 years ago
6 0
Slopes of perpendicular segments are always negative reciprocal of each other. Or, we can say product of slopes of perpendicular segments is always -1.
Given the slope of PQ is 5/2.
So the slope of its perpendicular segment should be -2/5.
Finding slopes of given options:-
slope \: of \: xy =  \frac{ - 10 - ( - 5)}{4 - 2}  =  \frac{ - 5}{2}
slope \: of \: tu =  \frac{7 - 2}{2 - 0}  =  \frac{5}{2}
slope \: of \: rs =  \frac{ - 6 - ( - 4)}{8 - 3}  =  \frac{ - 2}{5}
slope \: of \: vw =  \frac{9 - 5}{4 - 14}  =  \frac{4}{ - 10}  =  \frac{ - 2}{5}
From above calculations, it is clearly visible that slopes of RS and VW are negative reciprocal of slope of PQ.

So, correct answers are RS and VW.

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