1 / 9

Chapter 6 Definitions

"The main difference between a cat and a lie is that a cat only has nine lives." Mark Twain. Chapter 6 Definitions. Parallelogram Rectangle Rhombus Square Trapezoid Diagonal Base Legs. Interior Angles of Polygons. 180 . 180 . 180 . 180 . 180 . 180 + 180 = 360  .

iago
Download Presentation

Chapter 6 Definitions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. "The main difference between a cat and a lie is that a cat only has nine lives." Mark Twain Chapter 6 Definitions • Parallelogram • Rectangle • Rhombus • Square • Trapezoid • Diagonal • Base • Legs

  2. Interior Angles of Polygons 180 180 180 180 180 180+ 180= 360 180+ 180 + 180 = 540 180 180 180 180 180+180+ 180 + 180 + 180 = 900 180+ 180 + 180 + 180 = 720

  3. Interior Angles Sum Theoreom If a convex polygon has n sides and S is the sum of the measures of its interior angles then S=180(n-2)

  4. Application – Regular Polygon • The benzene molecule C6H6 consists of six carbon atoms in a regular hexagonal pattern with a hydrogen atom attached to each carbon atom. Find the sum of the measures of the interior angles of the hexagon. • Convex Polygon • S=180(n-2) • S=180(6-2) • S=180(4) • S=720

  5. Application – Regular Polygon • A mall is designed so the five walkways meet at a food court that is in the shape of a regular pentagon. Find the sum of the measures of the interior angles of the pentagon. • Convex Polygon • S=180(n-2) • S=180(5-2) • S=180(3) • S=540

  6. Irregular Polygon C B • Find the measures of the angles. • 360=mA + mB +mC + mD • 360 = x + 2x +2x + x • 360 = 6x • x = 60 • mA & mD = 60, mB & mC = 180 2x 2x x x A D

  7. Exterior Angle Sum Theorem 2 If a polygon is convex, then the sum of the measure of the exterior angles, one at each vertex is 360 1 2 6 3 7 5 4 8 4 1 3 1 3 2

  8. Exterior Angles • Find the measures of an exterior angle and an interior angle of the convex regular octagon ABCDEFGH • Interior Angles • S=180(n-2) • S=180(6) • S=1080 • Individual Interior Angles • S=1080/8 • = 135 • Exterior Angles • 360/8 = 45 • Note Exterior & Interior Angle are a Linear Pair (supplementary) 135+45 = 180

  9. Summary • For Convex Polygons • Measure of Interior Angles = 180(n-2) • Measure of Exterior Angles = 360 Practice Assignment Block Page 394 12 - 32 even

More Related