Concave &
Convex
Polygons
• Classify polygons whether they
are convex or nonconvex
OBJECTIVES
According to Sides Regula
r
Irregula
r
Classification of a Polygon
Recap
Concave &
Convex
Which of these two desk shapes do you think is
better? Why?
Which of these two polygons do you
think is concave and which is convex?
Desk 1 Desk 2
The following are two shape designs for a desk or table top.
Desk 1 Desk 2
The following are two shape designs for a desk or table top.
CONCAVE
CONVEX
Real Life
Uses
Architecture
Engineering
Design
Manufacturing
Convex Polygon Concave Polygon
• vertices point
outward(pushes out)
• at least one vertex
points inward(caves in)
Convex Polygon Concave Polygon
• A polygon is convex if no line that contains a side of
the polygon contains a point in the interior of the
polygon.
Convex Polygon Concave Polygon
• diagonals is in the
interior of the polygon
• at least one diagonal is in
the exterior of the polygon
a line segment
drawn between
any two points
“diagonal
”
Convex Polygon Concave Polygon
• all interior angles are
less than 180 degrees
• at least one interior angle
greater than 180 degrees
(reflex angle)
measures more
than 180° but
less than 360°
“reflex angle”
https://www.geogebra.org/m/hapwe7hb
Convex Polygon Concave Polygon
• all interior angles are
less than 180 degrees
• at least one diagonal is
in the exterior of the
polygon
• vertices point
outward(pushes out)
• diagonals is in the
interior of the polygon
• no line that contains a
side of the polygon
contains a point in the
interior of the polygon.
• at least one vertex
points inward(caves in)
• at least one interior
angle greater than 180
degrees (reflex angle)
Convex
Polygon
Concave
Polygon
MEASURING CONVEX AND CONCAVE
POLYGON
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Convex-and-Concave-Polygons.POWERPOINT PRE