Question

10. Find the reflection (image) of the point (5,-3) in the point (-1, 3).​

Answer 1

Answer:

The image would be (-7, 9)

Step-by-step explanation:

The point of reflection P (-1, 3),

Let the image of a point A(5, -3) is A'(x, y) under the reflection in the point P,

Since, the distance of a point from the point of reflection is same as the distance of its image from the point of reflection,

That is,

P is the midpoint of the segment joining A and A',

Comparing x-coordinates,

,

Comparing y-coordinates,

Hence, the image of A would be A'(-7, 9)