SOLUTION: Hello tutor the questions says Given: In square ABCD, diagonal AC is drawn Prove: If the midpoints of the sides of a square are joined in order, another square is f

Algebra ->  Geometry-proofs -> SOLUTION: Hello tutor the questions says Given: In square ABCD, diagonal AC is drawn Prove: If the midpoints of the sides of a square are joined in order, another square is f      Log On


   

Question 1009866: Hello tutor the questions says
Given: In square ABCD, diagonal AC is drawn
Prove: If the midpoints of the sides of a square are joined in order, another square is formed.

So can you make a statement and reason chart solving this proof thank you very much you are the best.
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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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 know in the "Thank you" section, if you need more explanations.
Do not forget to place the number of the problem (# 1009866) in order I could identify it.