GRE Review

1
GRE Review

• Geometry

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Lines and angles
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Angles

• The union of 2 rays with a common endpoint,
  denoted

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Measuring Angles
Note You wont have a protractor just showing
you how it is measured.
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Classifying angles
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Special Angles

• Adjacent
• Complementary
• Supplementary

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Example 1
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Example 2
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Vertical Angles

• Have the same measure

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Transversals

• A line that intersects two parallel lines at two
  different points is called a transversal.
• Interior angles
• 3,4,5,6
• Exterior angles
• 1,2,7,8

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Transversal Summary
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Transversal summary (II)

• Alternate interior angles have the same measure
• Alternate exterior angles have the same measure
• Corresponding angles have the same measure

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Example

• Find the measures of angles 1 through 7

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Pythagorean Theorem
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Example

• Find C.

c
4
3
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Example

• Find a

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Area of geometric shapes

• Triangle

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Example
Example B. Find the area of the triangle shown
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Area of Rectangle

• The area of a rectangle is A lw

A 5(3) 15 cm2
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Area of a circle

• Area of a circle
• Example. Find the area of a circle with a radius
  of 4.

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Area of a circular sector

• Area

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Example

• Find the area of the circular sector below

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Length and perimeter

• Perimeter of a rectangle P 2L 2W
• Circumference of a circle

L
W
r
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Length of a circular sector
S

• The length of the arc S is given by

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Example

• Find the length of the circular sector below

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Radian Measures

• To convert from degrees to radians multiply the
  degree measure by
• Example. Convert 45 degrees to radians

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3-D shapes

• Volume of a Rectangular solid V LWH

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Volume of a right circular cylinder