Transcript Transformations of Figures through Space!

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 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!
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 it’s coming right out at you, it’s
probably because it really is!
 But of course, this is stuff you already know.
3D on a 2D Power Point
 Now I’m not complaining, but you’re 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 mind’s
eye, your imagination, and want to see the 3
dimensional figures.
Transformations through Space!
 Remember your transformations? Well let’s
see!
 Which transformation changes the size of a
figure?
 A dilation.
 Which transformation turns a figure?
 A rotation.
 Which transformation slides figure?
 A translation.
What do you think we’ll get if we
translate a triangle through
space?.
How about a triangular prism?.
What do you think we’ll get if we
translate a rectangle through
space?
 How about a rectangular prism?
What do you think we’ll get if we
translate a circle through space?
 How about a cylinder?
What do you think we’ll get if we
dilate a square through space?
 Could this actually be a pyramid?
Lets’ flip it so we can see it from
its side?
 Can you see it now? It’s a pyramid.
What do you think we’ll get if we
dilate a circle through space?
 Could this actually be a cone?
Lets’ flip it so we can see it from
its side?
 Can you see it now? It’s a cone.
What do you think we’ll get if we
rotate a triangle through space?
 Could this possibly be a cone?
Let’s Spin and See!
 With rotation, that triangle becomes a
cone.
What do you think we’ll get if we
rotate a rectangle through space?
 Could this possibly be a cylinder?
Let’s Spin and See!
 With rotation, that rectangle becomes a
cylinder.
What do you think we’ll get if we
rotate a circle through space?
 Could this possibly be a sphere?
Let’s Spin and See!
 With rotation, that circle becomes a
sphere.
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.