SOLUTION: Hello tutor Given: In square ABCD, diagonals AC is drawn Prove: If the midpoints of the sides of a square are joined together, another square is formed Here is the given and

Algebra ->  Geometry-proofs -> SOLUTION: Hello tutor Given: In square ABCD, diagonals AC is drawn Prove: If the midpoints of the sides of a square are joined together, another square is formed Here is the given and      Log On


   

Question 1009870: Hello tutor
Given: In square ABCD, diagonals AC is drawn
Prove: If the midpoints of the sides of a square are joined together, another square is formed
Here is the given and proof please solve and make a statement reason t chart showing how you got this answer please help thank you very much
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
Look into the lesson  Midpoints of a quadrilateral are vertices of the parallelogram  in this site.

The Theorem is proved there:
In an arbitrary convex quadrilateral the midpoints of its sides are vertices of the parallelogram.

If you add the facts that

    in a square the diagonals are congruent,

and

    in a square diagonals are perpendicular,

then you will get the proof that you requested.

Please let me knoe in the "Thank you" section, if you need more explanations.

Good luck!