Created by Mandy Plunkett

Modified by Charlotte Stripling

Plane Figures

Sphere

Formed by … rotating a circle

A 3D figure shaped like a ball.

How can you form a sphere?

Cylinder

Formed by …

Rotating a rectangle or square,

Translating a circle

A 3D figure that looks like a tube with 2 circular bases.

How can you form a cylinder?

Cone

Formed by … rotating a triangle, stacking similar circles (smaller and smaller until a point)

A 3D figure with a circular base and a point opposite the base.

How can you form a cone?

Cube

Formed by … translating a square (its exact side length)

A rectangular prism with all edges the same length.

How can you form a cube?

Rectangular Prism

Formed by … translating a square or rectangle

A 3d figure that looks like a box.

How can you form a rectangular prism?

Triangular Prism

                  

Formed by … translating a triangle

A prism whose bases are triangles.    

How can you form a pyramid?

• Stack similar figures – smaller and smaller up to a point.

• Similar triangles – triangular pyramid

• Similar rectangles – rectangular pyramid

• Similar squares – square pyramid

• Similar pentagons – pentagonal pyramid

• Similar hexagons – hexagonal pyramid

Square Pyramid

Formed by … stacking similar squares (smaller and smaller until a point)

Triangular PyramidFormed by … stacking similar triangles (smaller and smaller until a point)

Hexagonal Pyramid

Formed by … stacking similar hexagons (smaller and smaller until a point)

DEFINITIONS• Cross Section: the intersection of a

plane and a solid.

Formed by slicing through a 3D figure and looking at the inside 2D plane figure.

• Ellipse: an oval 2D figure.

Formed by slicing a 3D figure at an angle to its circular base (oblique).

What cross-sections can I make from a sphere?

• Circle (any direction)

What cross-sections can I make from a cube?

• Square (vertical or horizontal), triangle (corners), hexagon (oblique), pentagon (oblique), parallelogram (oblique), rectangle (diagonal)

http://www.learner.org/courses/learningmath/geometry/session9/part_c/index.html

To see all cross sections click on link.

http://www.learner.org/courses/learningmath/geometry/session9/part_c/index.html

What cross-sections can I make from a cylinder?

• Rectangle (vertical), Circle (horizontal), Ellipse (oblique)

What cross-sections can I make from a cone?

• Triangle (vertical), Circle (horizontal), Ellipse (oblique)

What cross-sections can I make from a rectangular prism?

• Rectangle (vertical or horizontal), Triangle (corners)

What cross-sections can I make from a square pyramid?

• Triangle (vertical), Square (horizontal), Trapezoid (vertical not through vertex)