Sahar glass makers has cut a piece of glass. He wants. To check if the glass is now exactly in the shape. Of a rectangle. Which one of the following. Will be correct method 
opposite sides equal and parcel 
diagonals are equal in length
diagonals form four congruent triangles 
all angles are exactly 90degress

Dear student,

Please find below the solution to the asked query:

Note that rectangle follows all the properties of a parallelogram.That is a rectangle is a type of quadrilateral satifying the followting properties:1. The opposite sides are parallel and equal.2. The diagonals are equal in length.3. All angles are exactly 90 degrees.The property that diagonals form four congruent triangles does not hold good.Instead of geting four congruent triangles, we get two congruent pair of trianglesThis we can prove by taking a rectangle ABCD in which diagonals AC and BD intersect each other at point O as shown below:

Here the length and width of rectangle are x and y respectively.From the above figure we can note that,     AODCOB and AOBCODBut we have   AODAOB and COBCODThus we get only two pair of congruent triangles and not all the fouttriangles are congruent.

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