Given: C is a point on the perpendicular bisector, l, of AB.



Prove: AC = BC



Line l is a perpendicular bisector of line segment A B. It intersects line segment A B at point D. Line l contains point C.

Use the drop-down menus to complete the proof.



By the unique line postulate, you can draw only one segment,

. Using the definition of

, reflect BC over l. By the definition of reflection, C is the image of itself and

is the image of B. Since reflections preserve

, AC = BC.