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.