Question

P is the center of a circle with diameter KR.

If Point P is at coordinates (7, −5) and Point R is at coordinates (4, −2), find the coordinates of point K.

A) (5, -8)
B) (10, -10)
C) (11, -7)
D) (8, -2)

Answer 1

To find the coordinates of point K, use the midpoint formula. The coordinates of point K are (5.5, -3.5).

Step-by-step explanation:

To find the coordinates of point K, we can use the midpoint formula. The midpoint of a line segment is the average of the x-coordinates and the average of the y-coordinates of the two endpoints.

So, the x-coordinate of point K is the average of the x-coordinates of points P and R:
(7 + 4)/2 = 11/2 = 5.5

And the y-coordinate of point K is the average of the y-coordinates of points P and R:
(-5 - 2)/2 = -7/2 = -3.5

Therefore, the coordinates of point K are (5.5, -3.5).