Select the correct answer from each drop-down menu. Consider a circle in the coordinate plane. The center of circle C is (h,k). Consider any point D(x,y) on the circumference of the circle. Let r represent the radius of the circle as shown in the figure. A circle with center C is at point (h, k) is drawn on a coordinate plane. A point D is on circumference at point (x, y). Radius r connects center C to point D. The circumference of circle intersects the X-axis at two points and Y-axis at two points. Based on the given figure, complete the table to derive the equation of a circle in standard form. Statements Reasons 1. DJ ⊥ x-axis 2. CE ⊥ DJ By construction 3. DJ = y 4. EJ = k 5. DE = DJ − EJ 6. DE = From figure 7. EL ⊥ y-axis By construction 8. EL = x 9. CL = h 10. EC = EL − CL 11. EC = From figure 12. ΔDEC is a right triangle m∠DEC = 90° 13. DC2 = DE2 + EC2 14. (x - h)2 + (y - k)2 = r2 From figure