When you draw a circle and two of its diameters and connect the endpoints of the diameters, what quadrilateral do you get?

Question

would it be a rectangle or a square? i dont know

Answer 1

The angle subtended to the circumference of a circle by the diameter is equal to a right angle (90 degrees)

 

Hence when two such triangles are drawn they form diagonals of equal length (the diameter) of a quadrilateral with all four internal angle being 90 degrees

 

Therefore the quadrilateral so formed must be a rectangle.

Answer 2

Draw and label a diagram!

AB is one diagonal

CD is one diagonal, locate C under A

m∠DAC = m∠ACB = m ∠CBD = m∠BDA = 90°

 

What type of quadrilateral is it?