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Transformations of Figures through Space!

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Transformations of Figures through Space! The world is not flat. – PowerPoint PPT presentation

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Title: Transformations of Figures through Space!


1
Transformations of Figures through Space!
  • The world is not flat.

2
We Live in a 3 Dimensional World!
  • When you write or draw on paper, you are
    constructing 2 dimensional figures. Figures that
    only have height and width. If could actually
    turn them to the side, they would disappear.
    Check out the racer!
  • See what I mean!

3
We all Know that there is Depth in the World.
  • Along with height and width there is thickness or
    depth. We live in a 3-D World.
  • Which means that in addition to moving figures up
    and down, you can also move them out and in.
  • If it looks like its coming right out at you,
    its probably because it really is!
  • But of course, this is stuff you already know.

4
3D on a 2D Power Point
  • Now Im not complaining, but youre going to have
    to stay with me on this, because it can be
    awfully hard to demonstrate three dimensions on a
    two dimensional Power Point.
  • So you are going to have to use your minds eye,
    your imagination, and want to see the 3
    dimensional figures.

5
Transformations through Space!
  • Remember your transformations? Well lets see!
  • Which transformation changes the size of a
    figure?
  • A dilation.
  • Which transformation turns a figure?
  • A rotation.
  • Which transformation slides figure?
  • A translation.

6
What do you think well get if we translate a
triangle through space?.
  • How about a triangular prism?.

7
What do you think well get if we translate a
rectangle through space?
  • How about a rectangular prism?

8
What do you think well get if we translate a
circle through space?
  • How about a cylinder?

9
What do you think well get if we dilate a square
through space?
  • Could this actually be a pyramid?

10
Lets flip it so we can see it from its side?
  • Can you see it now? Its a pyramid.

11
What do you think well get if we dilate a circle
through space?
  • Could this actually be a cone?

12
Lets flip it so we can see it from its side?
  • Can you see it now? Its a cone.

13
What do you think well get if we rotate a
triangle through space?
  • Could this possibly be a cone?

14
Lets Spin and See!
  • With rotation, that triangle becomes a cone.

15
What do you think well get if we rotate a
rectangle through space?
  • Could this possibly be a cylinder?

16
Lets Spin and See!
  • With rotation, that rectangle becomes a cylinder.

17
What do you think well get if we rotate a circle
through space?
  • Could this possibly be a sphere?

18
Lets Spin and See!
  • With rotation, that circle becomes a sphere.

19
So what did we pick up from all of this?
  • When we translate into space what do we get?
  • Prisms and Cylinders
  • When we dilate into space what do we get?
  • Pyramids and Cones.
  • When we rotate into space what do we get?
  • Cones, Cylinders, and Spheres.
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