If the center of a circle is (3, -4) and the radius is 6, which point lies on the circle? a. (-3, 4) b. (-3, -2) c. (0, 0) d. (9, -4)

There are no two natural numbers whose squares add up to 6^2 = 36. So we're looking for a point with the same x or y coordinate as our center, and the other coordinate differs by six.

Going through the options, only d has a matching coordinate (y=-4) and the x coordinates happily differ by six as well.

Choice d

c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.