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- the branch of mathematics that is concerned with the
properties and relationships of:
- points, lines, angles, curves, surfaces, and solids.
- The visual study of shapes, sizes, patterns, and positions.- The visual study of shapes, sizes, patterns, and positions.
Different Types:
 Line
 Line Segment Line Segment
 Ray
 Perpendicular
 Parallel
 Intersecting
 Has no beginning or end.
 Continues indefinitely in both directions.
 Can be illustrated by drawing arrows at each end.
 Has a beginning point and an end point.
 Line segments on a shape are called sides.
 Can be found in many shapes. Can be found in many shapes.
 Has a beginning point but no end point.
 Lines in the same
plane that do not
intersect or crossintersect or cross
each other.
 Two or more lines that meet at a point.
 Perpendicular lines form a right or 90 degree angle.
 Made up of two rays with the same start point.
 The start point is called the vertex.
 The two rays are called the sides of the angle. The two rays are called the sides of the angle.
A Protractor.
 Zero Angles
 Right Angles
 Acute Angles Acute Angles
 Obtuse Angles
 Straight Angles
 SupplementaryAngles
 ComplimentaryAngles
 Are Parallel and equal 180 degrees.
 Two rays that create a 90 degree angle.
 Two rays that have a smaller angle than a
right angle.
 <90 Degrees
 Angles larger than a right angle and smaller
than two right angles. >90 Degrees
 Angles equal to two right angles.
 Two angles that sum to a straight angle
Two angles that sum to one right angle
 Plane Figure:
 A two-dimensional
shape (2D).
 A shape on a plane.
IncludesIncludes
points, lines, polygo
ns, circles, triangles
, hexagon, pentago
ns, etc.
 A plane figure is
any set of points on
a plane.
 Quadrilateral- a plane figure having four
sides and four angles.
 Parallelograms - a quadrilateral having both
pairs of opposite sides parallel to each other.pairs of opposite sides parallel to each other.
Equilateral Triangle
Three equal sides
Three equal angles,
always 60°
Isosceles Triangle
Two equal sides
Acute Triangle
All angles are
less than 90°
Right Triangle
Has a right angleTwo equal sides
Two equal angles
Scalene Triangle
No equal sides
No equal angles
Has a right angle
(90°)
Obtuse Triangle
Has an angle
more than 90°
Right Isosceles Triangle
Has a right angle (90°),
and also two equal angles
 Space figures are three dimensional figures.
 Faces: Side of the space figure
 Edges: Where two faces meet
Vertex or Vertices: the corners of the space figures
EDGE
FACE
 Vertex or Vertices: the corners of the space figures
VERTEX
Activity!
 Take out the papers in front of you and make each item you
see.
I have a Name!
Repeating a shape over and over
and over and over and over and
over again, leaving no gaps
Tesselation
over again, leaving no gaps
between each shape to form a
BIGGER shape.
Another word for “tesselation” is
TILING!
Symmetry
 Symmetry is having two sides of a whole
look like they reflect each other.
Line of Symmetry
 Something that is not symmetrical.
Asymmetry
Symmetry in Planes
Symmetry in Space
basics of  geometry with practical images

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basics of geometry with practical images

  • 1.
  • 2. - the branch of mathematics that is concerned with the properties and relationships of: - points, lines, angles, curves, surfaces, and solids. - The visual study of shapes, sizes, patterns, and positions.- The visual study of shapes, sizes, patterns, and positions.
  • 3.
  • 4. Different Types:  Line  Line Segment Line Segment  Ray  Perpendicular  Parallel  Intersecting
  • 5.  Has no beginning or end.  Continues indefinitely in both directions.  Can be illustrated by drawing arrows at each end.
  • 6.  Has a beginning point and an end point.  Line segments on a shape are called sides.  Can be found in many shapes. Can be found in many shapes.
  • 7.  Has a beginning point but no end point.
  • 8.  Lines in the same plane that do not intersect or crossintersect or cross each other.
  • 9.  Two or more lines that meet at a point.
  • 10.  Perpendicular lines form a right or 90 degree angle.
  • 11.  Made up of two rays with the same start point.  The start point is called the vertex.  The two rays are called the sides of the angle. The two rays are called the sides of the angle.
  • 13.  Zero Angles  Right Angles  Acute Angles Acute Angles  Obtuse Angles  Straight Angles  SupplementaryAngles  ComplimentaryAngles
  • 14.  Are Parallel and equal 180 degrees.
  • 15.  Two rays that create a 90 degree angle.
  • 16.  Two rays that have a smaller angle than a right angle.  <90 Degrees
  • 17.  Angles larger than a right angle and smaller than two right angles. >90 Degrees
  • 18.  Angles equal to two right angles.
  • 19.  Two angles that sum to a straight angle
  • 20. Two angles that sum to one right angle
  • 21.
  • 22.
  • 23.  Plane Figure:  A two-dimensional shape (2D).  A shape on a plane. IncludesIncludes points, lines, polygo ns, circles, triangles , hexagon, pentago ns, etc.  A plane figure is any set of points on a plane.
  • 24.  Quadrilateral- a plane figure having four sides and four angles.  Parallelograms - a quadrilateral having both pairs of opposite sides parallel to each other.pairs of opposite sides parallel to each other.
  • 25. Equilateral Triangle Three equal sides Three equal angles, always 60° Isosceles Triangle Two equal sides Acute Triangle All angles are less than 90° Right Triangle Has a right angleTwo equal sides Two equal angles Scalene Triangle No equal sides No equal angles Has a right angle (90°) Obtuse Triangle Has an angle more than 90° Right Isosceles Triangle Has a right angle (90°), and also two equal angles
  • 26.
  • 27.
  • 28.  Space figures are three dimensional figures.  Faces: Side of the space figure  Edges: Where two faces meet Vertex or Vertices: the corners of the space figures EDGE FACE  Vertex or Vertices: the corners of the space figures VERTEX
  • 29. Activity!  Take out the papers in front of you and make each item you see.
  • 30. I have a Name!
  • 31.
  • 32. Repeating a shape over and over and over and over and over and over again, leaving no gaps Tesselation over again, leaving no gaps between each shape to form a BIGGER shape. Another word for “tesselation” is TILING!
  • 33.
  • 34.
  • 35. Symmetry  Symmetry is having two sides of a whole look like they reflect each other. Line of Symmetry
  • 36.  Something that is not symmetrical. Asymmetry