Question

AOC and BOD are diameters of a circle prove that ABD and triangle DCA are congruent by RHS

Answer 1

Statement-Reason Proof:

If the circle has center O, then:

1.) BD = CA [Definition of Diameters of a Circle]

2.) Angle BAD = Angle CDA [Angle of Semicircle are Right Angles (90°)]

3.) AD = AD [Reflexive Property]

4.) Triangle DCA ≅ Triangle ABD [RHS Congruency Rule]