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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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