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1.5 HW pg. 38-41 #1-5, 7-33 odd, 39-43 odd, 49-53, 61, 62

1.5 HW pg. 38-41 #1-5, 7-33 odd, 39-43 odd, 49-53, 61, 62. 1. 2. Yes, by definition. No, they don’t have to be adjacent Yes No Yes Complementary:  GLH and  HLJ Supplementary:  GLJ and  JLK. No, they don’t have to share a vertex.

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1.5 HW pg. 38-41 #1-5, 7-33 odd, 39-43 odd, 49-53, 61, 62

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  1. 1.5 HW pg. 38-41 #1-5, 7-33 odd, 39-43 odd, 49-53, 61, 62 • 1. • 2. Yes, by definition. No, they don’t have to be adjacent • Yes • No • Yes • Complementary: GLH and HLJ • Supplementary: GLJ and JLK No, they don’t have to share a vertex

  2. 1.5 HW pg. 38-41 #1-5, 7-33 odd, 39-43 odd, 49-53, 61, 62 9. m2 = 69° 11. m2 = 85° 13. m2 = 25° 15. m2 = 153° 17. x = 8, mDEG = 135°, mGEF = 45° 19. x = 9, mDEG = 54°, mGEF = 36° 21. Linear Pair 23. Vertical Angles 25. Linear Pair 27. Neither 29. The angles add up to 90°, not 180°. ANS: x = 22.5 31. x = 10°, y = 35° 33. x = 55°, y = 30°

  3. 1.5 HW pg. 38-41 #1-5, 7-33 odd, 39-43 odd, 49-53, 61, 62 39. x = 23, mA = 71°, mB = 19° 41. x = 4, mA = 68°, mB = 22° 43. x = 39, mA = 58°, mB = 122° 49. FGA & AGC 50. FGA & CGD 51. FGA & AGC 52. FGA & AGB 53. Subtract 180 – 120 to find the supplementary angle, 60° 61. 62.

  4. 1.6 – Classify Polygons

  5. Polygon: Plane figure that is formed by 3 or more segments, called sides such that: 1. Each side intersects exactly 2 other sides, once at each endpoint 2. No sides with a common endpoint are collinear 3. No curved sides

  6. Line segment forming the polygon Side: M Q T R S

  7. Point where two sides meet Vertex: M M T Q S T R Q R S

  8. Consecutive Sides: Two sides that share a point, one after the other M Q T R S

  9. Segment that joins two nonconsecutive sides Diagonal: M Q T R S

  10. triangle quadrilateral pentagon hexagon heptagon octagon nonagon decagon ? Extra Credit! dodecagon n-gon

  11. Convex: No line that contains a side of the polygon contains a point in the interior of the polygon. (rubberband) Concave: Not convex! Think of a cave going inward!

  12. State whether the shape is a polygon. If yes, is it concave or convex? If no, why not? No, Curved side

  13. State whether the shape is a polygon. If yes, is it concave or convex? If no, why not? Yes, concave

  14. State whether the shape is a polygon. If yes, is it concave or convex? If no, why not? Yes, convex

  15. State whether the shape is a polygon. If yes, is it concave or convex? If no, why not? No, Sides intersect 3 other sides

  16. All sides are congruent All angles are congruent All sides AND all angles are congruent

  17. 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 

  18. 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 

  19. 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

  20. 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

  21. 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 

  22. 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

  23. 1.7 - Find Perimeter, Circumference, and Area

  24. Perimeter: Length around a shape. Measured in u cm, in, ft, yd Area: Square units inside a shape. Measured in u2 cm2 , in2 , ft2 , yd2

  25. Square: s

  26. Rectangle:

  27. Triangle: c a c h h a b b

  28. Circle: d Diameter = 2  radius

  29. 1. Find the perimeter and area of the shaded figure. Perimeter: _____________ Area: __________________

  30. 1. Find the perimeter and area of the shaded figure. Perimeter: _____________ Area: __________________

  31. 1. Find the perimeter and area of the shaded figure. Perimeter: _____________ Area: __________________

  32. 1. Find the perimeter and area of the shaded figure. Perimeter: _____________ Area: __________________

  33. 2. Find the perimeter and area of the shaded figure. Perimeter: _____________ Area: __________________

  34. 1. Find the perimeter and area of the shaded figure. Perimeter: _____________ Area: __________________

  35. 4. Use the information about the figure to find the indicated measure. Perimeter = 84ft Find the length.

  36. 4. Use the information about the figure to find the indicated measure. Area = 432m2 Find the width. 4 108 2 2 2 27 3 9 3 3

  37. 4. Use the information about the figure to find the indicated measure. Area = 189cm2 Find the height.

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