Question

The point A(7, 2) is reflected over the point (6,5) and its image is point B. Whatare the coordinates of point B?

Answer 1

For this question, we use the following formula to compute the coordinates (x',y') of the result of the reflection of point (x,y) over point (a,b):

`(x\text{',y')}=(2a-x,2b-y)`

Substituting (x,y)=(7,2) and (a,b)=(6,5) we get:

`(x\text{',y')=(2}\cdot6-7,2\cdot5-2)=(12-7,10-2)=(5,8)`

Therefore, the coordinates of point B are (5,8).