# Transformations of Figures through Space! - PowerPoint PPT Presentation

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## Transformations of Figures through Space!

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### Transformations of Figures through Space! The world is not flat. We Live in a 3 Dimensional World! When you write or draw on paper, you are constructing 2 dimensional ... – 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?

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.