Question

Find the reflection of the point P(–3, 7) in the point M(5, –1).

Answer 1

Answer:

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Answer 2

Answer:

The reflection of the point P(-3, 7) in the point M(5, -1) is (13, -9)

Step-by-step explanation:

Let Q(x, y) be the reflection of the point P(-3, 7) in the point M(5, -1), then point M is the mid-point of the line PQ

Therefore, by the mid-point formula

$(5, -1)=(\frac{-3+x}{2},\frac{7+y}{2} )$

$\frac{-3+x}{2} =5,\frac{7+y}{2} =-1$

-3 + x = 10 and 7 + y = -2

x = 13 and y = -9

Hence, the reflection of the point P(-3, 7) in the point M(5, -1) is Q(13, -9)