Tim and Trevor's Final Math Project for Shapes and Designs
Click on a shape to learn about it.
HELLO MRS. SUPPLE'S FIRST PERIOD MATH CLASS!!!!
Triangles
Squares
Rectangles
Parallelograms
Quadrilaterals
Pentagons
Hexagons
Octagons
Triangles
Characteristics:
Triangles ALWAYS tile.
A Triangle's angles must add up to 180�
A triangle has 120� turn symmetry, and 3 lines of mirror symmetry.
Triangles are the strongest shape.
Six points equal a hexagon.
Relationships between and among sides & angles:
Equilateral triangles have 60� angles. Every side is the same.
Isosceles triangles have 2 angles the same.
Scaline triangles have 0 sides the same.
6 triangles tile around a vertex.
Examples:
Radio Towers,
Tripods,
and Crossbeams on buildings.
Squares
Characteristics:
Squares have 4 sides which are all the same.
All the sides add up to 360�
Squares have 90� turn symmetry, and 4 lines of mirror symmetry.
Squares MUST have 90� angles.
Squares can tile. Squares are weak.
Relationships between and among sides & angles:
4 squares can tile around a vertex.
Squares always have 90� angles.
Opposite angles must add up to 180�
Examples:
Basketball hoop, waffle, windows, and metal fences.
Rectangles
Characteristics:
All sides must add to 360�.
2 sides are the same, the other 2 are the same.
Rectangles have 4 sides.
Rectangles tesselate easily.
Relationships between and among sides & angles:
Adjacent angles are equal to 360�
4 rectangles tile around a vertex.
Examples:
Air vent, Parking lot, piece of paper, front of a Nintendo 64.
Parallelograms
Characteristics:
Parallelograms have 4 sides.
They are a weak shape.
Some rombuses are parallelograms.
360� turn symmetry, 4 lines of mirror symmetry.
Relationships between and among sides & angles:
Opposite angles are the same.
Opposite sides are the same.
4 parallelograms can tile around a vertex.
Examples:
Candy bar
Quadrilaterals
Characteristics:
Quadrilaterals have 4 sides, which aren't the same.
All angles add up to 360�.
Quadrilaterals don't have to be squares or rectangles.
Some quadrilaterals cannot tile.
Quadrilaterals are weak shapes.
Relationships between and among sides & angles:
4 quadrilaterals can tile around a vertex.
Examples:
A building, 4-sided tabletops.
Pentagons
Characteristics:
Pentagons have 5 sides.
A pentagon's angles must add up to 540�
Relationships between and among sides & angles:
Pentagons DO NOT tile.
Examples:
U.S. Department of Defence (The Pentagon) and the Front of a house.
Hexagons
Characteristics:
Hexagons have 6 sides.
The angles must add up 720�.
Hexagons have 60� turn symmetry, and 6 lines of mirror symmetry.
It's a very common shape.
Relationships between and among sides & angles:
Each angles is 120�.
3 hexagons tile around a vertex.
Examples:
The inside of a beehive.
Octagons
Characteristics:
Square + Octagon = semi-regular octagon.
Octagons have 45� turn symmetry.
Octagons have 8 sides, and 8 angles.
The angles must add up to 1080�.
Relationships between and among sides & angles:
Octagons don't tile.
Examples:
Stop sign.
This page is � 1999 Tim and Trevor. Some information is from Shapes and Designs, a book from Dale Seymour Publications.
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