Question

5. Given the four points E (2,5), F(7,1), G(2, -3) and H(-8,5) is EF || GH ? Show how you determined

your answer.

Answer 1

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Answer:

yes, EF || GH

Explanation:

Using the slope formula, we can compare the slopes of EF and GH.

m = (y2 -y1)/(x2 -x1) . . . . . slope of segment between (x1, y1) and (x2, y2)

Slope of EF is ...

m = (1 -5)/(7 -2) = -4/5

Slope of GH is ...

m = (5 -(-3))/(-8 -2) = 8/-10 = -4/5

The slopes of the segments are the same, so they are parallel.