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Geometry Guide


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Sixth grader geometry guide

Sixth grader geometry guide

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  • 1. Lines Angles Triangles Quadrilaterals Circles My Guide to Geometry
  • 2. Lines Points Line Segments Rays Lines Intersecting Lines Perpendicular Lines Parallel Lines Skew Lines
  • 3. Points
    • A point is a precise location in a space. It is labeled with a letter.
    Point s Point t Point m
  • 4. Line Segments
    • A line that starts at a point and ends at another.
  • 5. Rays
    • A line that starts at one point and keeps on going on the other.
  • 6. Lines
    • A line that keeps on going on both ends.
  • 7. Intersecting lines
    • Intersecting lines are lines that eventually cross at a point.
  • 8. Perpendicular Lines
    • Perpendicular lines are lines that intersect at right angles.
  • 9. Parallel Lines
    • Parallel lines are lines that never cross each other.
  • 10. Skew Lines
    • Skew lines are lines that are not in the same plane.
  • 11. Angles Acute Obtuse Right Vertex/Vertices Complimentary Supplementary Vertical/Opposite Adjacent
  • 12. Acute Angle
    • An acute angle is an angle that is less than 90 degrees.
  • 13. Obtuse Angle
    • An obtuse angle is an angle that is more than 90 degrees.
  • 14. Right Angle
    • A right angle is an angle that is 90 degrees.
  • 15. Vertex/Vertices
    • A vertex is the middle point of an angle and vertices is the plural for vertex.
  • 16. Complementary
    • Complementary angles are two angles that make a 90 degree angle.
    60 30
  • 17. Supplementary
    • Supplementary angles are two angles that make a 180 degree angle.
    80 100
  • 18. Vertical/Opposite
    • Vertical and opposite are right across from each other.
    A B C D E BED and AEC Are vertical
  • 19. Adjacent
    • Adjacent angles are angles that are side by side and have a common vertex and ray.
    M P N Q R
  • 20. Triangles Right Obtuse Acute Scalene Isosceles Equilateral Sum of Internal Angles Perimeter Angles
  • 21. Right Triangles
    • Right triangles are triangles that have a right angle.
  • 22. Obtuse Triangles
    • Obtuse triangles are triangles that have an obtuse angle.
  • 23. Acute triangles
    • Acute triangles are triangles that have an acute angle.
  • 24. Scalene
    • Scalene triangles are triangles that have no congruent sides.
  • 25. Isosceles
    • Isosceles triangles are triangles that have two congruent sides.
  • 26. Equilateral
    • Equilateral triangles are triangles that have all equal sides.
  • 27. Sum of Internal Angles
    • When you add up angles and they are 180 degrees.
    180 10
  • 28. Perimeter
    • To find the perimeter of a shape you have to add the up all the measurements.
    5cm 5cm 10cm 10cm
  • 29. Angles
    • Angles are the figures formed by two rays with a common endpoint.
  • 30. Quadrilaterals Trapezoid Parallelogram Rectangle Rhombus Square Area of a rectangle Area of a square Area of a parallelogram Area of a trapezoid
  • 31. Trapezoid
    • A shape with one pair of parallel sides.
  • 32. Parallelogram
    • A shape that has two pairs of parallel sides.
  • 33. Rectangle
    • A quadrilateral that had four connected sides and all sides have 90 degree angles.
  • 34. Rhombus
    • A parallelogram that has no congruent sides.
  • 35. Square
    • A shape that has two pairs of parallel sides and congruent sides.
  • 36. Area of a Rectangle
    • To find the area of a rectangle, you have to multiply length times width.
    5cm 10cm
  • 37. Area of a Square
    • To find the area of a square, you have to multiply length times width.
    10cm 10cm
  • 38. Area of a Parallelogram
    • To find the area of a parallelogram you have to multiply the base times height.
  • 39. Area of a Trapezoid
    • To find the area of a trapezoid you have to multiply the two bases with the height.
  • 40. Circles Chord Diameter Arc Radius Sector Circumference Area of a Circle
  • 41. Chord
    • A line segment with its endpoints on a circle.
  • 42. Diameter
    • A line segment that passes through the middle of a circle and has its endpoints on the edge of the circle.
  • 43. Arc
    • An arc is the distance on the outside edge of a circle.
    A B AB
  • 44. Radius
    • The distance from the center of a circle to the edge.
  • 45. Sector
    • A piece of the area of a circle.
  • 46. Circumference
    • The distance around a circle (perimeter.) To find the circumference you have to multiply pi (3.14) and the diameter.
  • 47. Area of a Circle
    • The area of a circle is the space inside it. To find the area you have to multiply pi(3.14) and the radius of the circle squared.
  • 48. Other Polygons Hexagon Octagon Regular polygon
  • 49. Hexagon
    • A figure that has six equal sides.
  • 50. Octagon
    • A figure that has eight equal sides.
  • 51. Regular polygon
    • A polygon that has congruent sides and angles.