Question

Write the statement in if-then form the diagonals of a square are congruent and perpendicular bisector
to each other.
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Answer 1

Answer:

In □ABCD, diagonals bisect each other.

i.e. segAM≅segCM ...(given)

and segBM≅segDM ...(given)

∴□ABCD is a parallelogram.

Also, diagonal AC≅ diagonal BD ...(given)

∴□ABCD is a rectangle.

diagonal AC⊥ diagonal BD ...(given)

∴□ABCD is a reactangle whose diagonals are perpendicular to each other.

∴□ABCD is a rhombus which is rectangle

∴□ABCD is a square.

Hence, if diagonals of quadrilateral are congruent and perpendicular bisectors of each other than it is a square.

Answer 2

Answer:

If diagonals of quadrilateral are congruent and perpendicular bisectors of each other than it is a square.