Question

The center of a circle is (4, 6), and an endpoint of a diameter is (2, 5). What is the other endpoint of the diameter? (0, 4) (3, 5.5) (6, 7)

Answer 1

(6,7)

Explanation:

Answer 2

Correct choice (6,7)

Explanation:

The center of the circle is the midpoint of the diameter. Let the unknown enpoint of the diameter be point with coordinates (x,y). If the center of a circle is (4, 6), and an known endpoint of a diameter is (2, 5), then

`(x+2)/(2)=4\Rightarrow x+2=8,\ x=8-2=6,\\ \\(y+5)/(2)=6\Rightarrow y+5=12,\ y=12-5=7.`

You get the point (6,7).