GEOMETRY
Physical and Geometric Solids
- 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.
What is
Geometry?
Basic Concepts of Lines, Rays,
and Angles.
Lines!
Different Types:
 Line
 Line Segment
 Ray
 Perpendicular
 Parallel
 Intersecting
Line
 Has no beginning or end.
 Continues indefinitely in both directions.
 Can be illustrated by drawing arrows at each end.
Line Segment
 Has a beginning point and an end point.
 Line segments on a shape are called sides.
 Can be found in many shapes.
Ray
 Has a beginning point but no end point.
 Lines in the same
plane that do not
intersect or cross
each other.
Parallel
 Two or more lines that meet at a point.
Intersecting
 Perpendicular lines form a right or 90 degree angle.
Perpendicular
 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.
Angles
A Protractor.
Measure Angles
with…
 Zero Angles
 Right Angles
 Acute Angles
 Obtuse Angles
 Straight Angles
 Supplementary Angles
 Complimentary Angles
Different Angles
PLANE FIGURES!
 Plane Figure:
 A two-dimensional
shape (2D).
 A shape on a plane.
Includes points,
lines, polygons,
circles, triangles,
hexagon,
pentagons, 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.
Space Figures!
 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
Space Figures!

geometry presentation power point presentation

  • 1.
  • 2.
    - the branchof 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. What is Geometry?
  • 3.
    Basic Concepts ofLines, Rays, and Angles.
  • 4.
    Lines! Different Types:  Line Line Segment  Ray  Perpendicular  Parallel  Intersecting
  • 5.
    Line  Has nobeginning or end.  Continues indefinitely in both directions.  Can be illustrated by drawing arrows at each end.
  • 6.
    Line Segment  Hasa beginning point and an end point.  Line segments on a shape are called sides.  Can be found in many shapes.
  • 7.
    Ray  Has abeginning point but no end point.
  • 8.
     Lines inthe same plane that do not intersect or cross each other. Parallel
  • 9.
     Two ormore lines that meet at a point. Intersecting
  • 10.
     Perpendicular linesform a right or 90 degree angle. Perpendicular
  • 11.
     Made upof two rays with the same start point.  The start point is called the vertex.  The two rays are called the sides of the angle. Angles
  • 12.
  • 13.
     Zero Angles Right Angles  Acute Angles  Obtuse Angles  Straight Angles  Supplementary Angles  Complimentary Angles Different Angles
  • 14.
  • 15.
     Plane Figure: A two-dimensional shape (2D).  A shape on a plane. Includes points, lines, polygons, circles, triangles, hexagon, pentagons, etc.  A plane figure is any set of points on a plane.
  • 16.
     Quadrilateral -a plane figure having four sides and four angles.  Parallelograms - a quadrilateral having both pairs of opposite sides parallel to each other.
  • 17.
  • 18.
     Space figuresare 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 Space Figures!