Help Me, please#2


Given: AB and CD bisect each other.


Prove: AC=BD and AC || BD


Proof: Statements

(write it here)



(write it here)

 Jan 3, 2019
edited by ManuelBautista2019  Jan 3, 2019
edited by ManuelBautista2019  Jan 3, 2019

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



cool cool cool

 Jan 4, 2019

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