Answer :
A circle could not be circumscribed about the quadrilateral shown in the figure. The statement is false.
When a circle circumscribed about the quadrilateral?
To find the circle circumscribed about the quadrilateral, follow the steps below,
- Make the perpendicular bisector of each side of the quadrilateral.
- The circle circumscribed about the quadrilateral, if these bisector meets at the common point.
- The length from this point to the vertices of the quadrilateral is the radius of the circle circumscribed about the quadrilateral.
In the given quadrilateral shown in the figure attached, all the angles are different. For the different angle in quadrilateral, the perpendicular bisector of each side do no meet at the common point.
Thus, the circle could not be circumscribed about the quadrilateral shown in the figure. The statement is false.
Learn more about the circle circumscribed here:
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