Download Section 10A Slides

Unit 10A
Fundamentals of
Geometry
Copyright © 2008 Pearson
Education, Inc.
Slide 9-1
10-A
Points, Lines and Planes
• A geometric point is imagined to have zero size.
• A geometric line is formed by connecting two
points along the shortest possible path.
• Line segments are pieces of a line
• A geometric plane is a perfectly flat surface that
has infinite length and width but no thickness.
point
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Education, Inc.
line
plane
Slide 9-2
10-A
Angles
• The intersection of two lines or line segments
forms an angle.
• The point of intersection is called the vertex.
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Education, Inc.
Slide 9-3
10-A
Types of Angles
Right: measures 90
Straight: measures 180
Acute: measures less
than 90
Obtuse: measures between
90 and 180
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Slide 9-4
10-A
Polygons
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Slide 9-5
10-A
Perimeter and Area
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Slide 9-6
Examples
• #58 pg. 617
• #94 pg.620
10-A
Surface Area and Volume
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Education, Inc.
Slide 9-8
Examples
Pg: 618
• #67
• #68
10-A
Platonic Solids
Box pg. 613
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Education, Inc.
Slide 9-10
10-A
Scaling Laws
• Lengths always scale with the scale factor.
• Areas always scale with the square of the
scale factor.
• Volumes always scale with the cube of the
scale factor.
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Slide 9-11
Examples
Pg 619 Women 5’3.7” tall, 152 lbs, waist = 37”
Men 5’9.1” tall, 180 lbs, waist = 39”
• #82
• #83
• #84
The Surface-Area-to-Volume
Ratio
• Larger objects have smaller surface-areato-volume ratios than similarly
proportioned small objects
• Smaller objects have larger surface-areato-volume ratios than similarly
proportioned large objects
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Education, Inc.
Slide 9-13
10-A
Examples
Pg. 619
• #87
• #88