What is a convex quadrilateral?
A convex quadrilateral is a four-sided polygon that has interior angles that measure less than 180 degrees each. The diagonals are contained entirely inside of these quadrilaterals. Convex quadrilaterals can be classified into several sub-categories based on their sides and angles. A convex quadrilateral is cyclic if and only if opposite angles sum to 180∘.
Example:
If we look at the above diagram, all four angles of the quadrilateral are less than 180∘ and two diagonals also lies completely inside the figure. So the above quadrilateral is convex quadrilateral.
Where as if we look at the following diagram:
Here, we can observe that the one angle is more than 180∘ and also one of the diagonal lies outside the quadrilateral.
So, the above figure is called as concave quadrilateral.
A convex quadrilateral is a four-sided polygon that has interior angles that measure less than 180 degrees each. The diagonals are contained entirely inside of these quadrilaterals. Convex quadrilaterals can be classified into several sub-categories based on their sides and angles. A convex quadrilateral is cyclic if and only if opposite angles sum to 180∘.
Example:
If we look at the above diagram, all four angles of the quadrilateral are less than 180∘ and two diagonals also lies completely inside the figure. So the above quadrilateral is convex quadrilateral.
Where as if we look at the following diagram:
Here, we can observe that the one angle is more than 180∘ and also one of the diagonal lies outside the quadrilateral.
So, the above figure is called as concave quadrilateral.
