Use the linking cubes to create each figure
from Exploration 8.17.
As a group, check your answers! How
close were you???
• Go over warm up
• Pyramids, Prisms, and other solids
• Begin Transformations
– Exploration 9.1
– Exploration 9.5
– Exploration 9.6
• Assign Homework
Try these other two
• Front Right Side Top
Draw the views
• Right Side
• When we think of polyhedra, we think
of the 3-dimensional figure.
• If we wanted to find the surface area, it
would help if we could spread it out and
look at it in 2-dimensions.
• To do this, we find the net of the
• Exploration 8.19 Part 3
• Examine each of the nets.
• Without cutting or folding, determine the type
of 3-dimensional figure it will create.
• Last, draw another net that will create the
same 3-dimensional figure. If it is not
possible, explain why not.
• Prisms: cubes, rectangular, triangular,
etc… A polyhedron and its interior.
– Named for their bases. A triangular prism
has 2 bases that are triangles.
– Top and bottom bases are parallel and
– Faces are all rectangles with the same
– Like prisms, but with 2 bases that are
– One other face in the shape of a rectangle.
• Pyramids: square, triangular,
– Named for the base.
– Has just one base, and the other faces are
– The height of the triangle faces is called
the slant height.
– Like pyramids, but with a circular base.
– Face is a sector of a circle.
– Top point is called an apex.
• Spheres: No faces or bases. “Equator”
is known as a great circle.
We can transform shapes
• Given (preimage) Transformed:(image)
• Preimage: what you start with
• Image: what you end up with after a transformation.
• Transformations that yield congruence: reflection,
rotation, translation (flips, turns, and slides)
• If a figure has only 180˚ rotation symmetry, we say it
has point symmetry.
• Order makes a difference: e.g., doing 2 different
reflections in a row in the opposite order may not
give the same image.
– Look at it--there are two sides.
– Flat edge on line of reflection towards pre-
image, indented edge toward image.
– Look through to find reflection.
• Do part 1 like this in pairs:
• Go through 1a - c, and mark where you
predict the image to be.
• Check with the Mira.
• Then, do 1d - f, and mark where you predict
the image to be.
• Check with the Mira.
• Repeat this process for 3a - c, and d - f.
Now, use a ruler…
• Measure the perpendicular distance from any
preimage point to the line of reflection:
compare this distance to its respective image
point and the line of reflection.
• The line of reflection is _____ of the segment
containing any preimage and its respective
• Take out the worksheet Practice Using
Miras. (It is on the flip side of your
Quadrilateral Hierarchy worksheet.)
• In your groups, first discuss HOW you
will find each of these.
• Then, individually, try it. Compare
answers, revise, and then repeat.
• Paper folding--in pairs: your goal is to do
Part 2 a - h. Do as many as you need in
order to write directions for a student to
determine what the unfolded paper will look
like based on the folded paper diagram.
• On your own, make predictions for the
images of a - i when a 180˚ rotation is made.
• Then, use patty paper to check your work.
• Then, use a different color and determine the
preimage for a 90˚ clockwise rotation.