Asked by Story
Line l is a perpendicular bisector of line segment A C. It intersects line segment A C at point B. Line l also contains points D and E. Line segments A D, D C, C E, and E A are shown.
Use the diagram to complete the statements.
Segment AD must be congruent to segment
.
Segment BC must be congruent to segment
.
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Segment AD must be congruent to segment DC.
Segment BC must be congruent to segment AB.
Reason: Any point on the perpendicular bisector of AC (such as D and E) is equidistant from A and C, so AD = DC (and AE = EC). The intersection B is the midpoint of AC, so AB = BC.
Segment BC must be congruent to segment AB.
Reason: Any point on the perpendicular bisector of AC (such as D and E) is equidistant from A and C, so AD = DC (and AE = EC). The intersection B is the midpoint of AC, so AB = BC.
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