Question

Prove that the diagonals of a square divide it into
four congruent triangles.
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Answer 1

Answer:

Let ABCD be the square and line AC be its diagonal. We know, in a square all sides are equal and all the angles are right angled.

So, in ABC and ACD,

AB=CD

angle ABC= angle ACD

AD=BC

So, by SAS congurency both the triangles are equal.