Attached are the question and solution for part (a) and (b).

For part (c), how to prove that EF is parallel to AC?

Thank you.

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- July 24th 2012, 02:09 AMyeokyProve that two lines are parallel in a given geometry
Attached are the question and solution for part (a) and (b).

For part (c), how to prove that EF is parallel to AC?

Thank you. - July 29th 2012, 05:05 AMbjhopperRe: Prove that two lines are parallel in a given geometry
Hi Yeoky,

Complete the following constructions to your drawing

Extend BH to AD @ J BG to DC @K

connect JK,JE,KF,JE, EK

There are congruencies leading to BG= HD BH= GD BHDG is a parallelogram

Also EJ =FK EF=JK EJKF is a parallelogram

The perpendicular distance from AC to EF and JK are equal

EF is parallel to AC.

Find the congruent parts - July 30th 2012, 01:35 AMkraj8995Re: Prove that two lines are parallel in a given geometry
Its very simple just prove that figure a parallelogram by joining its all sides and diagonals.This will prove that the difference of two lines is equal at every point.

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