Triangle FGH with vertices F(1,8), G(5,7), and H(2,3) in the line y=x.
2 answers:
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Answer:
(D)The midpoint of both diagonals is (4 and one-half, 5 and one-half), the slope of RP is 7, and the slope of SQ is Negative one-sevenths.
Step-by-step explanation:
- Point P is at (4, 2),
- Point Q is at (8, 5),
- Point R is at (5, 9), and
- Point S is at (1, 6)
Midpoint of SQ
Midpoint of PR
Now, we have established that the midpoints (point of bisection) are at the same point.
Two lines are perpendicular if the slope of one is the negative reciprocal of the other.
In option D
- Slope of RP =7
- Slope of SQ
Therefore, lines RP and SQ are perpendicular.
Option D is the correct option.