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# planergeometry guide

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### planergeometry guide

1. 1. <ul><ul><li>Lines </li></ul></ul><ul><ul><li>Angles </li></ul></ul><ul><ul><li>Triangles </li></ul></ul><ul><ul><li>Quadrilaterals </li></ul></ul><ul><ul><li>Circles </li></ul></ul>The D's Geometry guide for dummies
2. 2. <ul><li>Points </li></ul><ul><li>Line Segment </li></ul><ul><li>Rays </li></ul><ul><li>Lines </li></ul><ul><li>Intersecting Lines </li></ul><ul><li>Perpendicular Lines </li></ul><ul><li>Parallel Lines </li></ul><ul><li>Skew Lines </li></ul>Lines
3. 3. <ul><li>A Point is a precise location in space. It is labeled with a letter </li></ul>Point A A Point B B Poin ts
4. 4. <ul><li>A (line) that starts at one point and ends at another = fg </li></ul>F G Line Segments
5. 5. <ul><li>A point at were a segment begins but never ends = DE </li></ul>D E Rays
6. 6. <ul><li>A never ending straight ray that has no beginning = BC </li></ul>B C Lines
7. 7. <ul><li>A point when two lines, segments or rays meet </li></ul>V H D G or N P T U Intersecting Lines
8. 8. <ul><li>An intersection of two lines, all 90 degrees = </li></ul>A C D B Perpendicular
9. 9. <ul><li>Lines that never intersect ,but are on the same plane </li></ul>J K L M Parallel
10. 10. <ul><li>Lines not on the same plane </li></ul>Skew
11. 11. <ul><li>Right </li></ul><ul><li>Obtuse </li></ul><ul><li>Acute </li></ul><ul><li>Adjacent </li></ul>Angles
12. 12. <ul><li>An angle higher than 90 degree </li></ul>d c g Obtuse
13. 13. <ul><li>An angle less than 90 degrees but higher than 0 </li></ul>c a b Acute
14. 14. <ul><li>An angle 90 degrees to 0 degrees </li></ul> A F Z Right
15. 15. <ul><li>A line named as an angle that is 180 degrees </li></ul>A D Straight
16. 16. <ul><li>The center of an angle named in the middle. Example – angle sgh or angle hgs </li></ul>h s g Vertex / Vertices
17. 17. <ul><li>An angle that combined with another angle (less than 180 degrees) = a180 degree angle </li></ul>130 degrees 50 degrees Supplumentary
18. 18. <ul><li>An angle combined with another angle (less than 90 degrees) = a 90 degree angle </li></ul>60degrees 30 degrees Complementary
19. 19. <ul><li>An angle directly across from it that is the same degree </li></ul>156 degrees 24 degrees 24 degrees 156 degrees Vertical (Opposite)
20. 20. <ul><li>An angle next to another, sharing a line </li></ul>Adjacent Adjacent
21. 21. <ul><li>Right </li></ul><ul><li>Obtuse </li></ul><ul><li>Acute </li></ul><ul><li>Scalene </li></ul><ul><li>Isosceles </li></ul><ul><li>Equilateral </li></ul><ul><li>Sum of internal angles </li></ul><ul><li>Perimeter </li></ul><ul><li>Area </li></ul>Triangles
22. 22. <ul><li>A triangle with a right angle as one of the three </li></ul>Right
23. 23. <ul><li>A triangle with an obtuse angle as one of the three </li></ul>Obtuse
24. 24. <ul><li>A triangle with 1, 2, or 3 acute angles in the three </li></ul>Acute
25. 25. <ul><li>A triangle with all equal sides </li></ul>Equilateral
26. 26. <ul><li>A triangle with only two equal sides </li></ul>Isosceles
27. 27. <ul><li>A triangle with no equal sides </li></ul>Scalene
28. 28. <ul><li>The sum of all the angles in the triangle adding up to be 180 degrees </li></ul>80 30 70 The sum=180 degrees Sum of Eternal Angles
29. 29. <ul><li>The total of the side length </li></ul>12m 10m 16m 19m perimeter = 47m Perimeter
30. 30. <ul><li>L (Length) x W (Width) divided by 1/2 </li></ul>12m 10m 16m 19m Area = 85m squared Area
31. 31. <ul><li>Quadrilaterals </li></ul><ul><li>Trapezoid </li></ul><ul><li>Area of a Trapezoid </li></ul><ul><li>Parallelogram </li></ul><ul><li>Area of a parallelogram </li></ul><ul><li>Rectangle </li></ul><ul><li>Area of a Rectangle </li></ul><ul><li>Rhombus </li></ul><ul><li>Area of a Rhombus </li></ul><ul><li>Square </li></ul><ul><li>Area of a Square </li></ul>Quadrilaterals
32. 32. <ul><li>A shape with 4 connected line segments but no parallel lines </li></ul>Quadrilateral
33. 33. <ul><li>A quadrilateral with two parallel sides </li></ul>or Trapezoid
34. 34. <ul><li>The average of the two lengths x the height. </li></ul>25cm 15cm 15cm The average of 25 and15 is 20 20cm x 15cm = 300cm Area of a Trapezoid
35. 35. <ul><li>A shape with 2 pairs of parallel sides </li></ul>Parallelogram
36. 36. <ul><li>B (Base) x H (Height) </li></ul>30m The area of the rhombus is 70m 15m The area of the rectangle is 450m 10m 7m Area of a parallelogram
37. 37. <ul><li>A quadrilateral that has 2 pairs of parallel sides and 1 pair that is diagonal </li></ul>Rhombus
38. 38. <ul><li>A quadrilateral with all 90 degree angles and 2 pairs of congruent sides </li></ul>Rectangle
39. 39. <ul><li>The L (Length) x W (Width) squared </li></ul>20cm 8cm 8cm 20cm 20cm x 8cm = 160cm squared Area of a rectangle
40. 40. <ul><li>A rectangle with 4 congruent sides and 4 90 degree angles </li></ul>Square
41. 41. <ul><li>The length of 1 side x 3 </li></ul>9m 9m x 3 sides = 36m Area of a square
42. 42. <ul><li>A shape with no angles and no straight sides that equals 360 degrees </li></ul>Circle
43. 43. <ul><li>A straight segment that goes from one end of the circle, to another example: chord ab </li></ul>A B Chord
44. 44. <ul><li>A segment that runs from an end of a circle, through the center of the circle, and on the opposite </li></ul>D N Diameter
45. 45. <ul><li>A section of the perimeter </li></ul>Arc
46. 46. <ul><li>Half of a diameter, used to draw circles </li></ul>15m Radius
47. 47. <ul><li>A region of to radii and an arc joining together </li></ul>Sector
48. 48. <ul><li>The perimeter of a circle. The diameter of a circle multiplied by 3.14 (pie) </li></ul>30m C= 94.2 Circumfrence
49. 49. <ul><li>Pie (3.14) multiplied by the radius squared </li></ul>20m A=1,256 Area
50. 50. <ul><li>Hexagon </li></ul><ul><li>Octagon </li></ul><ul><li>Regular polygon </li></ul>Other Polygons
51. 51. <ul><li>A shape with 6 sides an 6 angles </li></ul>Hexagon
52. 52. <ul><li>A shape with 8 sides and 8 angles </li></ul>Octagon
53. 53. <ul><li>All sides are congruent </li></ul>Regular polygon