Question

Find the endpoint of the diameter if the center is (-3,0) and one endpoint is (4, 5).

a) (11, 5)
b) (-10, 5)
c) (-10, -5)
d) (11, -5)

Answer 1

The endpoint of the diameter is (-10, -5).

Step-by-step explanation:

The formula for finding the endpoint of the diameter of a circle given the center and one endpoint is:

x = 2c - a

y = 2d - b

Where (c, d) is the center of the circle, (a, b) is the given endpoint, and (x, y) is the endpoint we are looking for.

In this case, the center is (-3, 0) and one endpoint is (4, 5). Plugging these values into the formula, we get:

x = 2(-3) - 4 = -10

y = 2(0) - 5 = -5

So the endpoint of the diameter is (-10, -5), which corresponds to option c.