Transcript Cross Sections

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Cross Sections
SWBAT: Describe the two-dimensional figures that result from
slicing three-dimensional figures with a plane.
a prism, and at times in cylinders the shape is
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made by stacking several figures on top of each other
Similar
that are ________________
.
 If
you stacked the same shape as the base, except
that it is a little smaller each time until they reached a
point at the top, you will create what is known as
a______________.
Pyramid
 These
pyramids are named according to the shape of
their_________________
Base
When we think of pyramids we think of the Great Pyramids of
Egypt. They are actually Square Pyramids, because their
base is a Square.
Prisms:
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-A prism has two bases
that are congruent to
each other.
- The two bases in a
prism, are parallel to
each other.
Pyramids:
-A pyramid has triangular sides
(lateral faces), and either a
rectangular or triangular base.
-A Pyramid has one base, and is
made of shapes similar to the
base, that get progressively
smaller until they come to a
point called a vertex/apex.
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Cross Sections
A slice of any 3 dimensional figure with
Section
a plane creates a Cross
__________
Cross sections are either taken
Parallel
______________
or Perpendicular
____________ to
the base, but they can also be taken at
Diagonal
a_____________.
+ Types of Cross Sections:
If a shape is cut parallel to the base, then the
cross section looks just like the base.
If a shape is cut perpendicular to the base,
then the cross section looks just like the
lateral face.
If the shape is cut diagonally, the cross section
looks like a stretched out base.
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Parallel Cross Section
Same
Shape as the base
base
Cross Section
base
Cross Section
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Perpendicular Cross Section
Same
shape as lateral face
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Cross Sections of a Cylinder:
Parallel cut
Perpendicular cut
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Cross Section of a Rectangular
Pyramid
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Cross Section of a Triangular Prism
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Cross Section of a Hexagonal/Pentagonal
Prism
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Cross Sections of a Cone
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Cross Sections of a Sphere
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Other Cross Sections:
Draw the 2-D Cross section for each 3-D Figure
+Shape
Vertical Cross
Section
Horizontal Cross
Section
Diagonal Cross
Section
+Shape
Vertical Cross
Section
Horizontal Cross
Section
Diagonal Cross
Section