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Convex-and-Concave-Polygons.POWERPOINT PRE 1. 2. 3. 4. 5. 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.
6. Desk 1 Desk 2
The following are two shape designs for a desk or table top.
CONCAVE
CONVEX
7. 8. Convex Polygon Concave Polygon
• vertices point
outward(pushes out)
• at least one vertex
points inward(caves in)
9. 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.
10. 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
”
11. 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”
12. 13. 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)
14. 15.