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Angle Bisector Theorem

StatementsReasoning
Segment DC is perpendicular to line ABGiven
Segment CE is perpendicular to line FB Given
Line H is the angle bisector of angle ABFGiven
Angle DBC is congruent to angle CBELine H is angle bisector
Line CB is congruent to Line CB Reflexive property
Angle CDB is 90 degrees Line CD is perpendicular to line AB
Angle CEB is 90 degrees Line EC is perpendicular to line FG
Triangle BCD is congruent to triangle BEC AAS
Segment CE is congruent to Segment CDCPCTC