Help Me, please#2
Given: AB and CD bisect each other.
Prove: AC=BD and AC || BD
Proof: Statements
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Reasons
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AB and CD bisect each other Given
Join ADBC A line segment can join any two points
AE = BE and CE = DE Definition of bisector
Angle CEA = Angle DEB Vertical angles
Triangle AEC congruent to Triangle BED SAS
AC = BD Congruent parts of congruent triangles
Angle EAC = Angle EBD Consequence of congruent triangles
Angles EAC and EBD are alternate interior angles Definition of alternate interior angles
AC ll BD A transversal (AB) cuts AC and BD forming equal
alternative angles EAC and EBD....by definition AC ll BD