Twists, Turns and Loops:

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Twists, Turns and Loops:. Geometry in Theme Parks. Created By: 2BrokeTeachers. Plane Figure. Helpful Hint!—picture a sheet of paper as a plane. If the shape will not lie flat on the paper, it is not a plane figure!. A closed figure in which all points lie on the same plane. Example:.

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Twists, Turns and Loops:

Geometry in Theme Parks

Created By: 2BrokeTeachers

Plane Figure

Helpful Hint!—picture a sheet of paper as a plane. If the shape will not lie flat on the paper, it is not a plane figure!

A closed figure in which all points lie on the same plane.

Example:

All of the points that create this decagon are on the same plane.

Non-Example:

The points that create this rectangular prism are on several different planes, making this object a solid figure.

Plane figures are everywhere in the world! What other plane figures do you see in this picture?

Circle

The set of all points that are the same distance from a given point called the center.

Example:

.

Non-Examples:

The points that create these shapes are not the same distance from the center point.

Polygon

A plane closed (no gaps or openings) figure made up of three or more straight sides and angles.

Example:

This heptagon has no gaps or openings and seven sides and angles.

Non-Example:

This circle is not a polygon because it has no sides or angles.

The entrance to the popular Rock’n’Roller Coaster has several polygons on it. Can you spot some more?

Triangle

Helpful Hint!—the prefix “tri-” has three letters in it, just like a triangle has three sides!

A polygon with three sides and three angles.

Examples:

Non-Examples:

These shapes do not have exactly three sides and three angles.

Helpful Hint!—Remember, there are four letters in the prefix “quad-” just like there are four sides and angles in a quadrilateral!

A polygon with four sides and four angles.

Examples:

Non-Examples:

These figures are not quadrilaterals because they do not have both four sides and four angles.

The backs of the seats on this topsy-turvy joyride are quadrilaterals. What other four-sided figures do you see?

Pentagon

Helpful Hint!—remember, there are five letters in the prefix “penta-” just like there are five sides and angles in a pentagon!

A polygon with five sides and angles.

Examples:

Non-Examples:

The first object is not a closed figure. The second object does not have five sides.

Hexagon

Helpful Hint!—six and the prefix “hexa-” both have the letter “x” in them!

A polygon with six sides and angles.

Examples:

Non-Examples:

These shapes do not have exactly six sides and angles.

Heptagon

A polygon with sevensides and angles.

Examples:

Non-Examples:

These shapes do not have exactly seven sides and angles.

Many of the support beams that create the frames of various theme park rides create heptagons.

Octagon

Helpful Hint!—an octopus has eight legs just like an octagon has both eight angles and sides!

A polygon with eight sides and angles.

Examples:

Non-Examples:

These shapes do not have exactly eight sides and angles.