Meaning & use

concave polygon

noun·Academicmathematics

Last updated

UK/ˈkɒnkeɪv ˈpɒlɪɡən/
US/ˈkɑːnkeɪv ˈpɑːliɡɑːn/

Meaning

  1. nouncountable

    A flat shape with straight sides in which at least one corner points inward, so some lines between corners pass outside the shape.

    Grammar: Countable: a concave polygon, two concave polygons.

    Patterns

    • a concave polygon with n sides

    The arrowhead shape is a concave polygon because one angle is larger than 180 degrees.

    Students drew a concave polygon and then tried to draw a diagonal outside it.

    A star is a concave polygon, unlike a square.

Word forms

pluralconcave polygons

Common combinations

a concave polygon with five sides
The worksheet shows a concave polygon with five sides.
identify a concave polygon
Can you identify a concave polygon among these shapes?
interior angle of a concave polygon
One interior angle of a concave polygon exceeds 180 degrees.
convex or concave polygon
Decide whether each is a convex or concave polygon.

Synonyms and how they differ

non-convex polygon
Non-convex polygon means exactly the same thing but is the more formal phrase used in higher mathematics.

Opposites

convex polygon

Word family

concave adjective
curving inward like the inside of a bowl
concavity noun
the state of curving inward
polygon noun
a flat closed shape with straight sides
convex adjective
curving outward

Commonly confused: concave polygon or convex polygon?

concave polygon vs convex polygon

A convex polygon has no inward-pointing corner and all interior angles less than 180 degrees, the opposite of a concave polygon.

Practice

Which shape is a concave polygon?

Make it your own

Write a sentence using “concave polygon”, then check it and compare it with the examples above.

Your sentence stays on this page and is not sent anywhere.

Explore more words