Lesson: Convex and Concave Polygons

In this lesson, we will learn how to how to classify polygons as convex or concave.

Worksheet • 2 Questions

Q1:

Consider convex polygons.

Select the definition of a convex polygon.

AA polygon is convex if all of the line segments drawn between two points, on or inside the polygon, are contained within the polygon.
BA polygon is convex if it contains one or more interior angles greater than .
CA polygon is convex if some of its vertices point “inward,” toward the center.
DA polygon is convex if it contains one or more interior angles less than .

Which of these properties is true of a convex polygon?

AAll of its internal angles are at most 180 degrees.
BA line drawn through a convex polygon, depending on exactly where you draw it, can intersect the polygon in more than two places.
CSome of its internal angles are less than 180 degrees.
D Some of the diagonals of a convex polygon will lie outside the polygon.

Q2:

In a pentagon , , , , and .

Decide whether is convex or concave.

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