To derive the standard formula of a circle, a radius r is constructed as the hypotenuse of a right triangle as shown. On a coordinate plane, a circle has center D at point (h, k). Right triangle D F E has point E on the circle. Point E is at (x, y). The length of D E is r. Angle E F D is a right angle. What are the lengths of the sides of the right triangle that is formed? Check all that apply. h k h – k x – h x – y y – h y – k

The answer is "x-h and y-k".

Step-by-step explanation:

The center is (h, k) with E (x, y) point, and its length of the legs used during extracting the standard circle equation should be found. Its right triangle length base is (x-h) units, as well as the right triangle's length, is (y-k). So, these are the required leg lengths, that's why the above-given points are correct.    

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