Geometry: if parallelogram's diag. bisects angle, it is a...

[Dayna]

Prove if a diagonal of a parallelogram bisects an angle of the parallelogram,the parallelogram is a rhombus.State your plan and give a proof.

 

[Deleted member 4993]

Re: Geometry

Prove if a diagonal of a parallelogram bisects an angle of the parallelogram,the parallelogram is a rhombus.State your plan and give a proof.

This is a standard corollary of parallel theorems. It should be in your text-book - tell us what you found.

Otherwise, do a google search - you might find it all worked out.

Otherwise, start sketching a parallelogram and show that for the given condition - the adjacent sides will be congruent (condition for a rhombus).

If you are still stuck, write showing (describing) your work - and exactly where you are stuck.