In Exercises 39 to 47, provide a paragraph proof. Be sure to provide a drawing, Given, and Prove where needed.
The line joining the centers of two circles that intersect at two points is the perpendicular bisector of the common chord.
To prove:
The given statement, “The line joining the centers of two circles that intersect at two points is the perpendicular bisector of the common chord.” by providing a paragraph proof.
Proof:
Statements  Reason 
Given  
We have drawn 

Radii in the circle Radii in the circle By Reflexive property, 

In congruent triangles corresponding elements are congruent 
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