1. Copyright © 2008 Pearson Education, Inc. Slide 9-1 Unit 10A Fundamentals of Geometry

2. Copyright © 2008 Pearson Education, Inc. Slide 9-2 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. 10-A point line plane

3. Copyright © 2008 Pearson Education, Inc. Slide 9-3 Angles The intersection of two lines or line segments forms an angle. The point of intersection is called the vertex. 10-A

4. Copyright © 2008 Pearson Education, Inc. Slide 9-4 Types of Angles Right: measures 90  Straight: measures 180  Acute: measures less Obtuse: measures between than 90  90  and 180  10-A

5. Copyright © 2008 Pearson Education, Inc. Slide 9-5 Polygons 10-A

6. Copyright © 2008 Pearson Education, Inc. Slide 9-6 Perimeter and Area 10-A

7. Examples #58 pg. 617 #94 pg.620

8. Copyright © 2008 Pearson Education, Inc. Slide 9-8 Surface Area and Volume 10-A

9. Examples Pg: 618 #67 #68

10. Copyright © 2008 Pearson Education, Inc. Slide 9-10 Platonic Solids 10-A Box pg. 613

11. Copyright © 2008 Pearson Education, Inc. Slide 9-11 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. 10-A

12. Examples Pg 619 Women 5’3.7” tall, 152 lbs, waist = 37” Men 5’9.1” tall, 180 lbs, waist = 39” #82 #83 #84

13. Copyright © 2008 Pearson Education, Inc. Slide 9-13 The Surface-Area-to-Volume Ratio Larger objects have smaller surface-area- to-volume ratios than similarly proportioned small objects Smaller objects have larger surface-area- to-volume ratios than similarly proportioned large objects 10-A

14. Examples Pg. 619 #87 #88