Proof: Given: Segment AC is a bisector of segment BD; ∠BCA ≅ ∠DCA Prove: ∠ABC ≅ ∠ADC

Question

Segment AC is a bisector of segment BD; ∠BCA ≅ ∠DCA Prove: ∠ABC ≅ ∠ADC

 

Please help, this is due tomorrow! And thank you

Answer 1

Line AC is in both triangles, so those sides are equal

BC = DC by definition of a bisector

<BCA = <DCA given

ABC congruent to ADC by SAS