Review of Properties of Angles and Polygons

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Review of Properties of Angles and Polygons
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Names of Different Angles
Right Angle

• Right angle 90? angle
• Acute angle any angle less than 90?

Acute Angle
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More Names of Angles
Obtuse Angle

• Obtuse angle any angle greater than 90?
• Straight Angle 180? angle(straight line)

Straight Angle
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Definitions of Quadrilaterals (4 sided figures)
Rectangle
Square

• Rectangle 4 right angles
• Square 4 right angles 4 equal sides
• Parallelogram opposite sides parallel and have
  equal length

Parallelogram
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More Quadrilaterals

• Rhombus all sides equal
• Trapezoid 1 pair of parallel sides

Rhombus
Trapezoid
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Areas of some polygons

• Area of rectangle(side)(side)
• Area of trapezoid
  1/2(base1base2)height
• Area of parallelogrambaseheight

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So you are sitting at home wondering what the sum
of angles of these polygons equal. Luckily, you
have this spiffy formula sum of angles (n
2)180 (nnumber of sides)
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Pythagorean Theorem

• Can only be used for right triangles
• if you know the lengths of 2 sides, then you can
  find the 3rd side!
• The sides adjacent to the right angle are the
  legs and are represented by a b in the
  picture
• the hypotenuse is the length across from the
  right angle and is represented as c
• the formula is

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Applying the Pythagorean Theorem

• What we need a right triangle 2 lengths
• we use the formula .
• Fill in the 2 lengths we are given and solve for
  the unknown length

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Some other figures to know
Cone
Prism
Cylinder
Pyramid
Sphere
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