Question

PLZ ANSWER ASAP!!!

A parallelogram ABCD , with I as the middle point of AC and EF is a line that goes through I. Show that IE=IF.

Answer 1

IE = IF (By CPCT)

Explanation:

Given:

ABCD is a parallelogram

So,

LINE AC || DC

Computation:

IN ΔAIE and ΔCIF

∠AIE = ∠CIF (Vertical opposite angle)

AI = IC (I is midpoint of line AC)

∠IAE = ∠ICF (Alternate angle)

So,

ΔAIE ≅ ΔCIF

So,

IE = IF (By CPCT)