Term
A Polygon is a closed shape formed by ____ ____? |
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Definition
A Polygon is a closed shape formed by Line Segments
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Term
What is the formula for the Sum of Interior Angles of a Polygon? |
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Definition
Sum of Interior Angles of a Polygon:
(n - 2) x 180
...where n = the number of sides |
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Term
Another way to find the sum of the interior angles in a Polygon, apart from using the formula, is ? |
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Definition
Dividing the Polygon into triangles by cutting them into lines connecting the corners, and using the sum of the interior angles of the triangles.
E.G. a Hexagon can be divided into 4 triangles by 3 lines connecting the corners. Therefore the sum of its angles is 4(180) = 720deg. |
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Term
What is the logic behind why the formula for the Sum of Interior Angles of a Polygon as follows:
(n - 2) x 180 ? |
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Definition
Because a polygon can be cut into
(n - 2) triangles (where n is the number of sides of the polygon), EACH of which contains 180 deg.
Thus, adding all of the interior angles of these triangles gives the sum of the interior angles of the Polygon. |
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What is the perimeter of a Polygon? |
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Definition
The distance around the Polgyon... i.e. the sum of the lengths of all the sides. |
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Term
What is the formula for:
The Area of a Triangle ? |
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Definition
A = (Base x Height) / 2
i.e. A = (BH)/2 |
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Term
The base of a triangle refers to? |
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Definition
The BOTTOM side of the triangle |
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Term
The height of a triangle only sometimes perpendicular (at 90deg. to) the base...
True/False? |
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Definition
FALSE.
The height of a triangle is ALWAYS perpendicular (at 90 deg. to) the base! |
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Term
What is the formula for:
The AREA of a Rectangle? |
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Definition
A = Length x Width
i.e. A = LW |
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Term
The formula for the:
Area of a Trapezoid
is? |
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Definition
A = (Base1 x Base2 X Height) / 2
i.e. A = (B1B2H)/2 |
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Term
The formula for the:
Area of a Parallelogram
is?
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Definition
A = Base x Height
i.e. A = BH
note: the height is the line perpendicular to the base, you often will have to draw this line for a parallelogram |
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Term
The formula for the:
Area of a Rhombus
is?
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Definition
A = (Diagonal1 x Diagonal2) / 2
i.e. A = (D1 x D2) / 2
The diagonals of a rhombus are ALWAYS perpendicular bisectors (meaning they cut each other in half at a 90deg. angle). |
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Term
What are the properties of the diagonals of a Rhombus?
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Definition
The diagonals of a rhombus are
ALWAYS perpendicular bisectors
(meaning they cut each other in half at a 90deg. angle)
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