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Geometry Power Point 5th grade
Geometry Power Point 5th grade
Geometry: a branch of mathematics that


        measures and compares




  .
points, lines, angles, surfaces, and solids
What are:

 Points?
 Lines?
 Angles?
 Surfaces?
 Solids?
The Basics
Point:
a single, exact location in space

A point is represented with dot
and label with a letter.
This is how we represent Point A

      A   .
Line:
A straight path that is made of
endless points in both directions

A line is represented by connecting two
labeled points with an arrow on each end.
Add a second labeled point (B)

        A
         .                         .
                                   B

This is how we represent Line AB
Line Segment:
Part of a line that extends from
one point to another point

A line segment is represented by
connecting two labeled points



        A
         .                         .
                                   B

This is how we represent Line AB
Parallel lines or line segments:
A pair of lines on the same plane that are the
same exact distance apart and never intersect
                                        (meet)

    A___________________B

    C___________________D
Line segment AB and line segment CD are the
same distance apart. They will never intersect
Ray:
Part of a line, having only one point


       A


 This is ray A, written as A
Angles
Angle:
Two rays that have the same
point of origin or vertex
Ray AB and ray AC form angle BAC

          C




A               B
Angle:
There are three types of angles,
Acute, Obtuse, and Right angles.
Acute angles
Measure: between
0 and 89 degrees

Obtuse angles
Measure: between 91
And 179 degrees

Right Angles
Measure: 90 degrees
Intersecting lines:
lines that cross at a point
Perpendicular lines:
Lines that intersect at right angles

The red and black lines below intersect at a right angle
Polygons
Polygons
A closed figure made of line segments
Regular Polygons
A polygon with all sides the same length
and all angles the same measure.
Triangles
Triangles:
  3 sided polygons
  Can be grouped by their angles




                                   Acute triangle




Right triangles                    Obtuse triangles
Triangles:
Can be grouped by their sides


                           Scalene:
                           no sides are equal


                           Isosceles:
                           two sides are equal


                           Equilateral:
                           all sides are equal
Quadrilaterals
Quadrilaterals:
Four sided polygons


          Square


                      Parallelograms
          Rectangle



          Rhombus      Trapezoid
Other
Polygons
Pentagons:
Five sided polygons
Hexagons:
Six sided polygons
Heptagons:
Seven sided polygons
Octagon:
Eight sided polygons
Nonagon:
Nine sided polygons
Decagon:
Ten sided polygons
Characteristics
 of Polygons
Comparing polygons:

Congruent figures: Shapes are
the same size, have the same
angles, and are the same
shape.
Comparing polygons:
Congruent figures: Shapes are the same
size, have the same angles, and are the
same shape.
Comparing polygons:

Similar figures: Shapes that are
the same shape but not
necessarily the same size.
Comparing polygons:

Similar figures: Shapes that are the same
shape but not necessarily the same size.
Symmetry
Symmetric Figures:
A shape that can be folded in half
(along the line of symmetry)
So that the two halves line up exactly.




         Fold along the dotted line
Symmetric Figures:
A shape that can be folded in half
(along the line of symmetry)
So that the two halves line up exactly.

Other examples of symmetric figures
Circles
Circles:
•    Circumference: the distance around a
     circle(perimeter)

•    Diameter: a line that goes through the
     center of a circle

•    Chord: a straight line joining two points on
     the circumference of a circle

•    Radius: the distance from the center to any
     point on the circumference of a circle.
Circles:
•    Circumference: the distance around a
     circle(perimeter)
Circles:

•    Diameter: a line that goes through the
     center of a circle
Circles:
 Chord: a straight line joining two points on
 the circumference of a circle
Circles:
 Radius: the distance from the center to any
 point on the circumference of a circle.
Solids
Space Figures: (Solids)
A figure that has volume,
three dimensions.


Faces: flat surfaces of solids

Edges: lines where two faces meet

Vertices: the corners or points of a
solid.
Space Figures: (Solids)
  A figure that has volume, three dimensions.


Face                                            Edge




                                                Vertices
Space Figures: (Solids)
A figure that has volume, three dimensions.
Perimeter
   and
  Area
Perimeter and Area:
Measuring polygons

Perimeter
Distance around a shape.
The sum of the lengths of
all sides.


Area
Square units inside a
shape
GPonterio PowerPoint

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Geometry Power Point 5th grade