Question

The point A(−1,−8) is reflected over the point (2,−2) and its image is point B. What are the coordinates of point B?

Answer 1

The coordinates of the point B as described in which case it is the image formed upon reflection of point A is; (5,4)

What is the coordinate of the point B which is the image formed by reflection of point A?

If follows from the task content description that the point A is an initial point which upon reflection yields point B.

Hence, it follows that the coordinates of point B can be determined according as follows;

For x coordinate;

-1 -2 = 2 - x

And hence, x = 5.

For y coordinate;

-8-(-2) = -2 - y

y = 4.

Hence, the coordinates of the image point B is; (5,4).

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