Complete the following proof. Given: Two concentric circles with a tangent to a smaller circle at R

Prove: AR = RB

Statement                    ⇒    Missing reason

Draw OA, OB               ⇒    Auxiliary lines

OR ⊥ AB                       ⇒    Radius ⊥ to tangent

OR = OR                        ⇒    Reflexive

OA = OB                       ⇒    Radii of same circles are congruent

ΔAOR ≅ ΔBOR             ⇒    HL

AR = RB                         ⇒    CPCTE

Draw OA, OB ⇒ Auxiliary lines

OR ⊥ AB ⇒ Radius ⊥ to tangent

OR = OR ⇒ Reflexive

OA = OB ⇒ Radii of same circles are congruent

ΔAOR ≅ ΔBOR ⇒ HL

AR = RB ⇒ CPCTE

Step-by-step explanation:

a - base

b - exponent

so,