Question

find the image of a point P (-3,7) in the point M(5,-1)

Answer 1

Answer:

There fore the image of a point P (-3,7) in the point M(5,-1) is

Q(13,-9)

Answer 2

$\huge\boxed{\underline{\underline{\green{\tt Solution}}}} </p><p>$

The given point of reflection M (5 , - 1 )

)Let the image of a point P(-3, 7) is A (x, y) under the reflection

We know that the distance of a point from the point of reflection is same as the distance of its image from the point of reflection

So M is the mid point of the line AP

NOW the mid point of the line AP is

$( \frac{(x - 3)}{2} , \: \frac{(y + 7)}{2})$

Hence,

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

So

$\frac{x - 3}{2} = 5 \: \: \: gives \: \: x \: = 10 + 3 = 13$

$\frac{y + 7}{2} = - 1 \: \: \: gives \: \: y \: = - 9$

So the required point is (13,-9)

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