A.2 Geometry Review.notebook
August 26, 2008
A.2 Geometry Review
Objectives:
• Use the Pythagorean Theorem and its Converse
• Know Geometry Formulas
Aug 17­11:01 AM
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A.2 Geometry Review.notebook
August 26, 2008
Definitions:
Pythagorean Theorem: a2 + b2 = c2
Hypotenuse
c
a
Leg
90o
b
Leg
Aug 17­10:58 AM
2
A.2 Geometry Review.notebook
August 26, 2008
Skills Review:
Example 1: Find the hypotenuse.
In a right triangle, one leg is of length 6 and the other
leg is of length 8. What is the hypotenuse?
a2 + b2 = c2
Aug 17­10:58 AM
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A.2 Geometry Review.notebook
August 26, 2008
Skills Review:
Example 2: Verify that a triangle is a right triangle.
Show that a triangle whose sides are of lengths 5, 12,
and 13 is a right triangle. Identify the hypotenuse.
a2 + b2 = c2
Aug 17­10:58 AM
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A.2 Geometry Review.notebook
August 26, 2008
Geometry Formulas:
Rectangle:
Area = lw
Perimeter = 2l + 2w
w
l
Triangle:
Area = 1/2bh
h
b
Circle:
Area = πr2
Circumference = 2πr = πd
d
r
Aug 17­10:58 AM
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A.2 Geometry Review.notebook
August 26, 2008
Geometry Formulas:
Rectangular Box: Volume = lwh
Surface Area = 2lh + 2wh + 2lw
h
w
l
Sphere:
Volume = 4/3πr3
Surface Area = 4πr2
r
Cylinder:
r
Volume = πr2h
Surface Area = 2πr2 + 2πrh
h
Aug 17­10:58 AM
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A.2 Geometry Review.notebook
August 26, 2008
Skills Review:
Example 3: Using Geometry Formulas
A poster advertisement is in the shape of an ice cream cone
(semicircle on top of a triangle). How many square inches of poster
board is required to make the sign if the height of the triangle is 20
inches and the base is 16 inches?
16
Acircle = πr2
Atriangle = 1/2bh
20
Answer = 260.53 in2
ANSWER
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A.2 Geometry Review.notebook
August 26, 2008
Homework:
page 964 (12 - 36 even, 41, 42)
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