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1.6 – Classify Polygons
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Polygon: 1. Has at least 3 sides 2. No sides overlap 3. No curved sides
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Side: Line segment forming the polygon M Q T R S
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Vertex: Point where two sides meet M M T Q S T R Q R S
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Consecutive Sides: Two sides that share a point, one after the other M Q T R S
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Diagonal: Segment that joins two nonconsecutive sides M Q T R S
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triangle ABC quadrilateral Quad BDAC pentagon Pent ADECB # of sides
Name Notation 3 4 5 triangle ABC quadrilateral Quad BDAC pentagon Pent ADECB B B D A A C D B A C C E
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triangle ABC quadrilateral Quad BDAC pentagon Pent ADECB hexagon Hex
# of sides Name Notation 3 4 5 6 7 8 9 10 11 12 n triangle ABC quadrilateral Quad BDAC pentagon Pent ADECB hexagon Hex heptagon Hept octagon Oct nonagon decagon ? Extra Credit! 11-gon dodecagon n-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
State whether the shape is a polygon. If yes, is it concave or convex? If no, why not? Yes, Concave or Convex OR No, _________________ Curved side
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State whether the shape is a polygon. If yes, is it concave or convex
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
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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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
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All sides are congruent All angles are congruent
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
Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning. Hexagon Regular All sides and angles
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Classify the name of the polygon by the number of sides
Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning. quadrilateral Regular All sides and angles
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Classify the name of the polygon by the number of sides
Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning. Octagon Equiangular All angles , but not all sides
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Classify the name of the polygon by the number of sides
Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning. decagon equilateral All sides , but not all angles
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Classify the name of the polygon by the number of sides
Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning. Heptagon Regular All sides and angles
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Classify the name of the polygon by the number of sides
Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning. Quadrilateral Equilateral All sides , but not all angles
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8x – 6 = 4x + 22 4x – 6 = 22 4x = 28 x = 7 Side Length = 8(7) – 6 =
3. The lengths (in feet) of two sides of a regular quadrilateral are represented by the expressions 8x – 6 and 4x Find the length of a side of the quadrilateral. 8x – 6 = 4x + 22 8x – 6 4x – 6 = 22 4x + 22 4x = 28 x = 7 Side Length = 8(7) – 6 = 50ft
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HW Problem # 40a (hexagon) 6 9 1.6 44-47
1-13 odd, 14, odd, 37, 40(a only), 41 # 40a (hexagon) 6 9
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