PLANE SLICE

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PLANE SLICE

Describe the two-dimensional
figures that result from slicing
three-dimensional figures
TABLE OF CONTENTS
Vocabulary……………………………………………………………..Slide 3
Lesson A…………………………………………………………………Slide 4
Lesson B………………………………………………………………….Slide 11
Vocabulary
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CROSS-SECTION- THE SHAPE YOU GET WHEN CUTTING STRAIGHT ACROSS AN OBJECT
PARALLEL- LINES IN A PLANE THAT DO NOT MEET
PERPENDICULAR- RELATIONSHIP BETWEEN TWO LINES WHICH MEET AT A RIGHT ANGLE
FACE- FLAT PLANAR SURFACE
EDGE- LINE WHERE TWO SURFACES MEET
VERTEX- CORNER OF AN INTERSECTION
BASE- SIDE OF A PLANE FIGURE OR FACE OF A SOLID
ANGLE- FIGURE FORMED BY TWO RAYS OR LINE SEGMENTS
DIAGONAL- CROSSING FROM ONE CORNER TO ANOTHER
PLANE- FLAT TWO-DIMENSIONAL SURFACE
RECTANGULAR PRISM- A 3D SHAPE THAT HAS 6 FACES, 8 VERTICES, AND 12 EDGES
RIGHT SQUARE PYRAMID- A 3D SHAPE THAT HAS 5 FACES, 5 VERTICES, AND 8 EDGES
Lesson A
In this lesson you will learn how
to describe the cross sections
of a rectangular prism by
slicing at different angles.
Review
Rectangular Prism
Plane
Meet at 90˚
3D
2D
Interpreting a Perspective Drawing
Looking at the prism straight
on, the top face looks like a
parallelogram.
When the top face is straight
up, you can see that it is
actually a rectangle.
A Cross Section is the two-dimensional
shape you get when you cut a threedimensional shape with a plane.
The Plane can be
perpendicular or
parallel.
Perpendicular
Planes
intersect to
form right
angles.
Parallel
Planes
never
intersect
Cutting a rectangular prism parallel to
its base:
The blue part
is your Cross
Section
Cutting a rectangular prism NOT parallel to
its base:
The blue part is your Cross
Section
Cutting a rectangular prism perpendicular to
its base:
The blue part
is your Cross
Section
Lesson B
In this lesson you will learn how
to describe the cross sections of
a right square pyramid by slicing
at different angles.
Review
Right Square Pyramid
From Lesson A,
recall what a
plane is and
how it relates to
cross sections.
View slide five
for reference.
Vertex
5 Faces
Cutting a right pyramid with a plane
parallel to its base:
The blue part is
your Cross
Section
Cutting a right square pyramid NOT parallel to its
base:
The blue part is your Cross Section
The ends on the
quadrilateral
are different
lengths because
the far side is
closer to the top
vertex.
Cutting a right square pyramid with a plane
perpendicular to its base containing the vertex:
Sources:
http://www.youtube.com/watch?v=y8ct1mPYHUk&f
eature=player_embedded
http://www.youtube.com/watch?v=2mrJhslPjFw&fea
ture=player_embedded
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