Answer:
AC ≅ EC
Hence C is the Mid point of AE. ........Proved
Step-by-step explanation:
Given:
∠A ≅ ∠E
∠BCA ≅ ∠DCE
BC ≅ DC
To Prove:
C is the Mid Point of AC.
i.e AC ≅ CE
Proof:
In ΔBCA and ΔDCE
∠A ≅ ∠E ……….{Given}
∠BCA ≅ ∠DCE …………{Given}
BC ≅ DC …..…….{Given}
ΔBCA ≅ ΔDCE ........….{By Angle-Angle-Side Congruence test}
∴ AC ≅ EC .{Corresponding Parts of Congruent Triangles are Congruent.}
AC = CE
Mid point Divides Segment in Two equal parts.
AC ≅ EC
Hence C is the Mid point of AE. ........Proved
Therefore,
