✔ all radii of the same circle are congruentall right angles are congruenttangents to a circle that intersect are congruentof the reflexive property

Question

Revolt · Accepted Answer

Answer

We are given that angle AOB is a central angle of circle O and that angle ACB is a circumscribed angle of circle O. We see that AO ≅ BO because .:

all radii of the same circle are congruent

We also know that AC ≅ BC since .:

tangents to a circle that intersect are congruent

Using the reflexive property, we see that .:

side CO is congruent to side CO

Therefore, we conclude that △ACO is congruent to △BCO by the .:

SSS congruency theorem

Angle Relationships