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Cross Sections SWBAT: Describe the two-dimensional figures that result from slicing three-dimensional figures with a plane.

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Presentation on theme: "Cross Sections SWBAT: Describe the two-dimensional figures that result from slicing three-dimensional figures with a plane."— Presentation transcript:

1 Cross Sections SWBAT: Describe the two-dimensional figures that result from slicing three-dimensional figures with a plane.

2 In a prism, and at times in cylinders the shape is made by stacking several figures on top of each other 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______________. These pyramids are named according to the shape of their_________________ When we think of pyramids we think of the Great Pyramids of Egypt. They are actually Square Pyramids, because their base is a Square.  Similar Pyramid Base

3 -A prism has two bases that are congruent to each other.
Prisms: -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.

4 Cross Sections A slice of any 3 dimensional figure with a plane creates a __________ Cross sections are either taken ______________ or ____________ to the base, but they can also be taken at a_____________.    Cross Section Parallel Perpendicular Diagonal

5 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.

6

7 Parallel Cross Section
Same Shape as the base base base Cross Section Cross Section

8 Perpendicular Cross Section
Same shape as lateral face

9 Cross Sections of a Cylinder:
Parallel cut Perpendicular cut

10 Cross Section of a Rectangular Pyramid

11 Cross Section of a Triangular Prism

12 Cross Section of a Hexagonal/Pentagonal Prism

13 Cross Sections of a Cone

14 Cross Sections of a Sphere

15 Other Cross Sections:

16 Draw the 2-D Cross section for each 3-D Figure
Shape Vertical Cross Section Horizontal Cross Section Diagonal Cross Section

17 Shape Vertical Cross Section Horizontal Cross Section Diagonal Cross Section


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