Cross Sections SWBAT Describe the twodimensional figures that
+ Cross Sections SWBAT: Describe the two-dimensional figures that result from slicing three-dimensional figures with a plane.
+ n In a prism, and at times in cylinders the shape is made by stacking several figures on top of each other that are Similar ________. n 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 n 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: + -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.
+ Cross Sections A slice of any 3 dimensional figure with a Cross Section plane creates a _____ Cross sections are either taken Parallel Perpendicular _______ or ______ 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.
+ Parallel Cross Section n. Same Shape as the base Cross Section
+ Perpendicular Cross Section n. Same shape as lateral face
+ Cross Sections of a Cylinder: Parallel cut Perpendicular cut
+ Cross Section of a Rectangular Pyramid
+ Cross Section of a Triangular Prism
+ Cross Section of a Hexagonal/Pentagonal Prism
+ Cross Sections of a Cone
+ Cross Sections of a Sphere
+ 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
- Slides: 17