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

Ijustgotaquestion  Apr 6, 2018
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 #2
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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
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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

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