Which quadrilaterals could be inscribed in a circle? 1)Square 2)Rectangle 3)Parallelogram 4)Isosceles trapezoid

Ijustgotaquestion
Apr 6, 2018

#2**+1 **

It depends on the size of the shape. If they are all super small, then any of them could, but my best guess would be square, and anyone, correct me if I am wrong about this. Please do.

MathPeacock
Apr 6, 2018

#3**+3 **

For a shape to be inscribed in a circle, all the vertices have to be on the circle.

A square can be inscribed in a circle, like this:

Since a square is a rectangle, and a square can be inscribed in a circle, a rectangle can be inscribed in a circle. And since a square is a parallelogram, and a square can be inscribed in a circle, a parallelogram can be inscribed in a circle.

Note that a rectangle with different side lengths could also be inscribed in a circle. However, a parallelogram with non-right angles could not be inscribed in a circle.

An isosceles trapezoid can also be inscribed in a circle, like this:

All of the options could be inscribed in a circle.

hectictar
Apr 7, 2018