Thread: Euclidean solution of a theorem on Rectangle

1. Euclidean 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 perpendicular

2. Re: Euclidean solution of a theorem on Rectangle

It's impossible to answer this without knowing what postulates and previously proved theorems you have available.

3. Re: 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?

4. Re: Euclidean solution of a theorem on Rectangle

assume any postulate/theorem (but please try to make it simple)

5. Re: 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.

6. Re: 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.