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. DC 2 = DE 2 + EC 2 14. (x - h)2 + (y - k)2 = r 2 From figure
