1.6 Classify Polygons You will classify polygons Essential Question: How do you classify polygons?
1.6 – Classify Polygons
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Transcript of 1.6 – Classify Polygons
1.6 – Classify Polygons
Polygon:
2. No sides overlap
3. No curved sides
1. Has at least 3 sides
Side: Line segment forming the polygon
M
T
SR
Q
QM
MT
TS
SR
RQ
Vertex: Point where two sides meet
M
T
SR
Q
M
T
S
R
Q
Consecutive Sides: Two sides that share a point, one after the other
M
T
SR
Q
and MTQM
and QRQM
Diagonal: Segment that joins two nonconsecutive sides
M
T
SR
Q
QT
QS
MS
MR
TR
# of sides Name Notation
3
4
5
trianglequadrilateral
pentagon
ABCQuad BDACPent ADECB
A
B
C
A
B
C
D
A
B
C
D
E
# 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
Convex: Passes the rubberband test
Concave: Not convex! Think of a cave going inward!
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, _________________
State whether the shape is a polygon. If yes, is it concave or convex? If no, why not?
Yes, Concave or Convex
OR
No, _________________
State whether the shape is a polygon. If yes, is it concave or convex? If no, why not?
Yes, Concave or Convex
OR
No, _________________
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
Equilateral Equiangular Regular
All sides are congruent
All angles are congruent
All sides AND all angles are congruent
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
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
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
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
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
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
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
# 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