1.6 – classify polygons
DESCRIPTION
1.6 – Classify Polygons. Polygon:. 1. Has at least 3 sides. 2. No sides overlap. 3. No curved sides. Line segment forming the polygon. Side:. M. Q. T. R. S. Point where two sides meet. Vertex:. M. M. T. Q. S. T. R. Q. R. S. Consecutive Sides:. - PowerPoint PPT PresentationTRANSCRIPT
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1.6 – Classify Polygons
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Polygon:
2. No sides overlap
3. No curved sides
1. Has at least 3 sides
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Side: Line segment forming the polygon
M
T
SR
Q
QM
MT
TS
SR
RQ
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Vertex: Point where two sides meet
M
T
SR
Q
M
T
S
R
Q
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Consecutive Sides: Two sides that share a point, one after the other
M
T
SR
Q
and MTQM
and QRQM
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Diagonal: Segment that joins two nonconsecutive sides
M
T
SR
Q
QT
QS
MS
MR
TR
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# of sides Name Notation
3
4
5
trianglequadrilateral
pentagon
ABCQuad BDACPent ADECB
A
B
C
A
B
C
D
A
B
C
D
E
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# of sides Name Notation
3
4
5
6
7
8
9
10
11
12
n
trianglequadrilateral
pentagonhexagon
heptagonoctagon
nonagondecagon
? Extra Credit!dodecagonn-gon
ABCQuad BDACPent ADECB
HexHeptOct
11-gon
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Convex: Passes the rubberband test
Concave: Not convex! Think of a cave going inward!
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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, _________________
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State whether the shape is a polygon. If yes, is it concave or convex? If no, why not?
Yes, Concave or Convex
OR
No, _________________
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State whether the shape is a polygon. If yes, is it concave or convex? If no, why not?
Yes, Concave or Convex
OR
No, _________________
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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
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Equilateral Equiangular Regular
All sides are congruent
All angles are congruent
All sides AND all angles are congruent
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Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning.
Regular
Hexagon
All sides and angles
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Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning.
Regular
quadrilateral
All sides and angles
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Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning.
Equiangular
Octagon
All angles , but not all sides
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Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning.
equilateral
decagon
All sides , but not all angles
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Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning.
Regular
Heptagon
All sides and angles
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Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning.
Equilateral
Quadrilateral
All sides , but not all angles
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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 = 22
4x = 28
x = 7
Side Length = 8(7) – 6 = 50ft
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# 39
HW ProblemSecti
onPage
#Assignment Spiral ?
s
1.6 44-47 3-13 odd, 14, 17-27 odd, 39 16-17
3x + 12 = 20 – 5x8x + 12 = 20
8x = 8x = 1
Side Length = 3(1) + 12 = 15mm 7 sides = 105mm