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GRE Geometry
formulas from ed2go
21
Other
Graduate
04/12/2008

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Cards

Term
The perimeter of a square is?
Definition
s + s + s + s = 4s
Term
For rectangles the perimeter is?
Definition
W + W + L + L = (2 x W) + (2 x L) or 2W + 2L
Term
the diameter, d, of a circle is?
Definition
two times the radius, 2r
Term
The area of a square is:
Definition
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s^2 
Term
The area of a rectangle is:
Definition
[image]
Term
The area of a parallelogram:
Definition
[image]
Term
The area of a trapezoid is:
Definition
[image]
Term
The area of a triangle:
Definition
[image]
Term
The area of a circle:
Definition
[image]
Term
The volume of a cube:
Definition
[image]
Term
The volume of a 3D solid rectangular box:
Definition
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Term
The volume of a sphere/ball:
Definition
[image]
Term
The surface area of a sphere is:
Definition
[image]
Term
For any triangle, the sum of the interior angles will be?
Definition

180 degrees.

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a°+ b°+ c° = 180°
Term
Equilateral triangles are triangles with equal sides, similar to a square, which also has equal sides. Given that we know that the sum of all the interior angles is 180 degrees, we know that each of the interior angles of an equilateral triangle is?
Definition

60 degrees:

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60°+ 60°+ 60° = 180°
Term
Isosceles triangles are triangles with two equal interior angles. The sides opposite the angles are also?
Definition

equal in length:

 

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Term
Right triangles are triangles that have one angle that is:
Definition
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Term
The Pythagorean theorem applies to ______.This theorem allows you to figure out the length of the hypotenuse, which is?
Definition

(the side of a right-angled triangle that is opposite the right angle) when you are only given the length of the sides:

By rearranging the terms, the Pythagorean theorem will let you figure out the length of all of the sides when you are given the length of any two of the three:

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Term

Suppose you are given two points on a coordinate plane, A(3,2) and B(1,5), and are asked to find the distance between them. Look at the following problem:

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This problem can be solved using the distance formula. The distance formula is?

Definition
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Term

you may also be asked to calculate the slope of a line. We can join points A and B on figure 9-39 with a line (AB) and then extend that line through the vertices as follows:

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The slope of the line, which is represented by the letter ___. Using this formula, you can determine the slope of line AB?

Definition
[image]
Term
Equation of a Line formula is?
Definition
y = mx + b
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