Question

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.

Assuming construction of the dotted lines, complete the following proof.

Given: lines from P tangent to circle R at points A and B



Prove: PA = PB

Answer 1

RA = RB ----- radii of the same circles are =

RP = RP ----- reflexive

RA ⊥ AP, RB ⊥ PB ----- Radius congruent to tangent

rtΔ RAP ≅ rtΔ RBP ----- HL

PA = PB ----- CPCTE

Answer 2

Explanation:

Statements

1.RA equal RB

2.RP equal RP

3.RA is perpendicular to AP, RB is perpendicular to PB

4.right triangle RAP is congruent to Right triangle RBP

5.PA equal PB

Reasons

1.radii of same circle are equal

2.Reflexitive

3.Radius is perpendicular to tangent

4.HL

5 CPCTC