Question

The point A(7, -3) is reflected over the point (6, -5) and it's image is point

B. What are the coordinates of point B?

Answer 1

• (5, -7)

Explanation:

Let the point (6, -5) be M, and point B has coordinates of (x, y)

As the point A(7, -3) reflects over the point M, it becomes the midpoint of segment AB

Using midpoint formula, finding the coordinates of the point B

• 6 = (7 + x)/2 ⇒ 7 + x = 12 ⇒ x = 12 -7= 5
• -5 = (-3 + y)/2 ⇒ -3 + y = -10 ⇒ y = -10 + 3 = -7

So the point B is (5, -7)