Explain why a rectangle is a convex quadrilateral.


Solution:

A convex polygon is a simple polygon (not self-intersecting) in which no line

segment between any two points on the boundary ever goes outside the polygon.

This applies to quadrilaterals also as they are also polygons with four sides. 

A rectangle is a quadrilateral as it has four sides.

A rectangle is a convex quadrilateral because no line segment between any two

points on its boundary goes outside the rectangle. No diagonal of a rectangle

lies outside the rectangle.


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Updated on: 10-Oct-2022

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