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Given: D is the midpoint of segment AC, angle AED is congruent to angle CFD and angle EDA is congruent to angle FDCProve: triangle AED is congruent to triangle CFD

Given D Is The Midpoint Of Segment AC Angle AED Is Congruent To Angle CFD And Angle EDA Is Congruent To Angle FDCProve Triangle AED Is Congruent To Triangle CFD class=

Answer :

Since Angle AED is congruent to angle CFD and angle EDA is congruent to angle FDS, we can use the midpoint theorem to get the following:

[tex]\begin{gathered} D\text{ is midpoint of AC} \\ \Rightarrow AD\cong AC \end{gathered}[/tex]

therefore, by the ASA postulate (angle,side,angle), we have that triangle AED is congruent to triangle CFD

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