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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?

Respuesta :

mhanifa

Answer:

  • (5, -7)

Step-by-step 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)

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