Question 199566
Draw the circle with diameters AB and DC. Draw segments AC and BD.
Proof (you may want to state the reasons more formally):<ol><li>Segments AB and DC are diameters of circle O. Reason : Given</li><li>Segments AB and DC pass through the center O. Reason: Definition of diameters</li><li>Segments OA, OB, OC and OD are all radii. Reason: Definition of radius</li><li>Segments OA, OB, OC and OD are all equal in length. Reason: Definition of circle</li><li>Segments OA is congruent to segment OD and segment OC is congruent to segment OB. Reason: Definition of congruent segments<.li><li>Angle AOC and angle DOB are vertical angles. Reason: definition of vertical angles.</li><li>Angle AOC and angle DOB are congruent. Reason: Vertical angles are congruent</li><li>Triangle AOC is congruent to triangle DOB. Reason SAS</li></ol>