Show that the quadrilateral formed by joining the midpionts of the consecutive sides of a square is also a square
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Step-by-step explanation:
If u jion the diagonals of inner quadrilateral u will get pair of parallel lines and two diagonals and four triagles. Using alternative angles and vertically opposite angles prove all sides are equal, I mean by taking two-two triangles prove congruency and then use CPCT.
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I HAVE BRIEFLY EXPLAINED IN THIS CONTEXT WHICH I HAVE WRITTEN BELOW and I have explained everything in the image.
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Step-by-step explanation:
Let's take and example of a square ABCD and mid-points E, F, G and H of sides AB, BC, CD and DA, respectively.
Construction:
- Join H to E, E to F, F to G and G to H.
How to prove/proof:
- State that there hypotenuses are equal which form the sides of the square.
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