1 / 32

2.5

2.5. How Can See It? Pg. 20 Classify Polygons. 2.5 – How Can I See It?______________ Classify Polygons In this section you will discover the names of the many different polygons and how they are classified. 2.28 –EXTERIOR ANGLE OF TRIANGLES

myron
Download Presentation

2.5

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 2.5 How Can See It? Pg. 20 Classify Polygons

  2. 2.5 – How Can I See It?______________ Classify Polygons In this section you will discover the names of the many different polygons and how they are classified.

  3. 2.28 –EXTERIOR ANGLE OF TRIANGLES a. Compare the interior and exterior angle of the following triangles at right. What do you notice?

  4. 70° 55°

  5. Exterior Angle of a Triangle a d b c c+d = 180 a+b+c = 180 a+b+c = c+d a+b = d

  6. Exterior Angle of a Triangle a d b c Sum of two interior angles equals exterior angle

  7. b. Find the measure of the exterior angles.

  8. x 50 + 70 = 120 = x

  9. 6(15) + 30 120° 6x + 30 5x + 45 = 45 = x + 30 15 = x

  10. Polygon: 1. Has at least 3 sides 2. No sides overlap 3. No curved sides

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

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

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

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

  15. triangle quadrilateral pentagon

  16. triangle quadrilateral pentagon hexagon heptagon octagon nonagon decagon 11-gon dodecagon n-gon

  17. Convex: No corners point inside the shape Concave: Not convex! A corner points inside the shape

  18. 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, _________________ Curved side

  19. 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, _________________

  20. 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, _________________

  21. 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

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

  23. 2. Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, regular, or neither? a. Pentagon Equilateral

  24. b. quadrilateral Regular

  25. c. Octagon Equiangular

  26. d. Heptagon Regular

  27. e. decagon equilateral

  28. f. Hexagon neither

  29. 3. Given the following shapes are regular, solve for x.

  30. 6x + 17 10x – 27 = 4x – 27 = 17 4x = 44 x = 11

  31. x2–6x–16 x2+12x–106 = 18x – 106 =–16 18x = 90 x = 5

  32. x2+2x–2 x2+8 = 8 = 2x – 2 10 = 2x 5 = x

More Related