2.5 – classify polygons. polygon: 2. no sides overlap or cross 3. no curved sides 1. 3 or more...
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2.5 – Classify Polygons
Polygon:
2. No sides overlap or cross
3. No curved sides
1. 3 or more sides
4. Closed figure
Side: Segments that connect to form the shape
M
T
SR
Q
QM
MT
TS
SR
RQ
Vertex: Corners of the polygon
M
T
SR
Q
M
T
S
R
Q
Consecutive Sides: Sides with common point
M
T
SR
Q
and MTQM
and QRQM
Diagonal: Segment that joins two nonconsecutive vertices that go through the shape
M
T
SR
Q
QT
QS
MS
MR
TR
Convex: Every vertex points away from the center of the shape (passes rubber band test)
Concave: At least one vertex points into the shape
1. State whether the shape is a polygon. If yes, is it concave or convex? If no, why not?
Curved side
Yes, Concave or Convex
OR
No, _________________
Yes, Concave or Convex
OR
No, _________________
1. State whether the shape is a polygon. If yes, is it concave or convex? If no, why not?
Yes, Concave or Convex
OR
No, _________________
1. State whether the shape is a polygon. If yes, is it concave or convex? If no, why not?
Yes, Concave or Convex
OR
No, __________________Overlaps
1. State whether the shape is a polygon. If yes, is it concave or convex? If no, why not?
# of sides Name
3
4
5
trianglequadrilateral
pentagon
# of sides Name
3
4
5
6
7
8
9
10
11
12
n
trianglequadrilateral
pentagonhexagon
heptagonoctagon
nonagon
decagon
11-gondodecagonn-gon
Equilateral Equiangular Regular
All sides are equal
All angles are equal
All sides AND angles are equal
2. Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning.
Hexagon
quadrilateral
Octagon
decagon
Heptagon
Quadrilateral
3. The lengths (in feet) of two sides of a regular quadrilateral are represented by the expressions 8x – 6 and 4x + 22. Find the length of a side of the quadrilateral.
8x – 6
4x + 22
8x – 6 = 4x + 22
4x – 6 = 224x = 28x = 7
Side Length = 8(7) – 6 = 50ft