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planergeometry guide

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Transcript

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