Question

If ABCD is a square then show that the points A, B, C and D are concyclic.

Answer 1

Answer with explanation:

It is given that , ABCD is a Square.

Measure of each of interior Angles of Square is 90°.

That is, ∠A=∠B=∠C=∠D=90°

Now , sum of Opposite angles

∠A + ∠C

= 90° + 90°

=180°

Also, ∠B + ∠D

  == 90° + 90°

=180°

If you plot a Quadrilateral, passing through points , A , B, C and D ,

Then,  ∠A + ∠C=180°

as well as , ∠B + ∠D=180°

Showing that points , A, B, C and D are Con-cyclic.