Answer the question below. Type your response in the space provided. Then compare your answer to the sample answer. Point B(-2,4) lies on a circle centered at A(1, 3). Write a paragraph proof to determine whether C(4, 2) also lies on the circle.
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 see proof below

Step-by-step explanation:

The standard equation of a circle is (x - h)² + (y - k)² = r² where (h. k) is the center of the circle and r is the radius.  It is given that A (h, k) = (1, 3) and point B (x, y) = (-2,4) is on the circle.  Substitute the center (h, k) and point B(x, y) = (-2,4) into the standard equation of a circle to get r² = 10.  To prove that C(x, y) = (4, 2) is also a point on the circle, substitute the center (h, k) and the point C(x, y) = (4, 2) into the standard equation of a circle to get r² = 10.  Since the radius is the same for both point B and point C and it is given that point B is on the circle, then we must conclude that point C is also on the circle.

what are the options? ?

step-by-step explanation:

a 360 degree rotation

step-by-step explanation: