Prove that lines formed by joining the mid-points of the parallel sides of a rectangle bisect each-other and areAttachment 23675perpendicular

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- Apr 21st 2012, 12:55 PMmaddymathEuclidean solution of a theorem on Rectangle
**Prove that lines formed by joining the mid-points of the parallel sides of a rectangle bisect each-other and are**Attachment 23675__perpendicular__

- Apr 21st 2012, 04:13 PMHallsofIvyRe: Euclidean solution of a theorem on Rectangle
It's impossible to answer this without knowing what postulates and previously proved theorems you have available.

- Apr 21st 2012, 09:18 PMmaddymathRe: Euclidean solution of a theorem on Rectangle
is there a postulate/theorem which says if two angles of a quadrilateral are right then the quadrilateral is rectangle?

- Apr 21st 2012, 09:20 PMmaddymathRe: Euclidean solution of a theorem on Rectangle
assume any postulate/theorem (but please try to make it simple)

- Apr 22nd 2012, 12:20 AMbiffboyRe: Euclidean solution of a theorem on Rectangle
You wont find it difficult to draw a quadrilateral which has 2 right angles and is not a rectangle.

- Apr 22nd 2012, 05:56 AMbartmeijerRe: Euclidean solution of a theorem on Rectangle
Euclid knew about triangles. You might want to draw the diagonal lines that connect the midpoints of the sides, and see what you can prove about the resulting triangles.