Question

Two lines ab and cd intersect at o such that bc is equal and parallel to ad. Prove that the lines ab and cd bisect at o

Answer 1

Answer:

We can prove this by the property of a parallelogram (||gm).

Step-by-step explanation:

if we make AB and CD interest at O

also ; BC || AD and BC = AD

if we join ABCD then we get a quadrilateral ABCD .

Since BC || AD

BC = AD

Therefore; ABCD is a ||gm

property of a ||gm :

Diagonals are equal and bisect each other .

In ||gm ABCD

Diagonals = AB and CD

Therefore;

AB and CD bisect at O

(as O is their only point of intersection).

Answer 2

Step-by-step explanation:

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