a.2 geometry review.notebook - poudre school...
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A.2 Geometry Review.notebook
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August 26, 2008
Aug 1711:01 AM
A.2 Geometry Review
Objectives:• Use the Pythagorean Theorem and its Converse• Know Geometry Formulas
A.2 Geometry Review.notebook
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Definitions:
Pythagorean Theorem: a2 + b2 = c2
a
b
c
90o
Leg
Leg
Hypotenuse
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August 26, 2008
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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
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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
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Geometry Formulas:
Rectangle: Area = lwPerimeter = 2l + 2w
Triangle: Area = 1/2bh
Circle: Area = πr2
Circumference = 2πr = πdr
d
h
b
l
w
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Geometry Formulas:
Rectangular Box: Volume = lwhSurface Area = 2lh + 2wh + 2lw
Sphere: Volume = 4/3πr3 Surface Area = 4πr2
Cylinder: Volume = πr2h Surface Area = 2πr2 + 2πrh
lw
h
r
r
h
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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?
Acircle = πr2 Atriangle = 1/2bh16
20
Answer = 260.53 in2
ANSWER
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Homework:page 964 (12 - 36 even, 41, 42)