Welcome to MM150 Unit 6 - PowerPoint PPT Presentation

Loading...

PPT – Welcome to MM150 Unit 6 PowerPoint presentation | free to download - id: 810699-OGQyY



Loading


The Adobe Flash plugin is needed to view this content

Get the plugin now

View by Category
About This Presentation
Title:

Welcome to MM150 Unit 6

Description:

Title: Welcome to MM150 Unit 6 Author: devry Last modified by: Tom Johnson Document presentation format: On-screen Show Other titles: Gill Sans Lucida Grande Arial ... – PowerPoint PPT presentation

Number of Views:43
Avg rating:3.0/5.0
Slides: 23
Provided by: devr69
Learn more at: http://kheseminar.com
Category:

less

Write a Comment
User Comments (0)
Transcript and Presenter's Notes

Title: Welcome to MM150 Unit 6


1
Welcome to MM150 Unit 6
  • Seminar

2
  • Line AB
    AB
  • Ray AB
    AB
  • Line segment AB AB

3
Plane
  • Any three points that do not lie on the same line
    determine a plane. (Since 2 points determine a
    line, a line and a point not on the line
    determine a unique plane).
  • 2. A line in a plane divides the plane into 3
    parts the line and 2 half-planes.
  • 3. The intersection of 2 planes is a line.

4
3 Definitions
  • Parallel planes 2 planes that do not intersect
  • Parallel lines 2 lines IN THE SAME PLANE that
    do not intersect
  • Skew lines 2 lines NOT IN THE SAME PLANE that
    do not intersect.

5
Angle
D
Side
Vertex
Side
A
F
6
Angle Measures
Acute Angle 0 degrees lt acute lt 90
degrees Right Angle 90 degrees Obtuse
Angle 90 degrees lt obtuse lt 180
degrees Straight Angle 180 degrees
7
More Angle Definitions
2 angles in the same plane are adjacent angles if
they have a common vertex and a common side, but
no common interior points. Example angBDL and
angLDM Non-Example angLDH and angLDM 2
angles are complementary angles if the sum of
their measures is 90 degrees. Example angBDL
and angLDM 2 angles are supplementary angles
if the sum of their measures is 180
degrees. Example angBDL and angLDH
L
M
H
B
D
8
If the measure of angLDM is 33 degrees, find
the measures of the other 2 angles.
Given information angBDH is a straight
angle angBDM is a right angle
L
M
H
B
D
9
If angABC and angCBD are complementary and
angABC is 10 degrees less than angCBD, find
the measure of both angles.
angABC angCBD 90 Let x angCBD Then x
10 angABC X (x 10) 90 2x 10
90 2x 100 X 50 angCBD 50
degrees X 10 40 angABC 40 degrees
D
C
B
A
10
Polygons
of Sides Name
3 Triangle
4 Quadrilateral
5 Pentagon
6 Hexagon
7 Heptagon
8 Octagon
9 Nonagon
10 Decagon
12 Dodecagon
20 Icosagon
11
Sum of Interior Angles
2 180 360 degrees
4 - 2 2
3 180 540 degrees
5 - 2 3
6 - 2 4
4 180 720 degrees
12
  • The sum of the measures of the interior angles of
    a n-sided polygon is
  • (n - 2)180 degrees

What is the sum of the measures of the interior
angles of a nonagon? n 9 (9-2) 180 7
180 1260 degrees
13
EVERYONE How many sides does a polygon have if
thesum of the interior angles is 900 degrees?
  • (n - 2) 180 900
  • Divide both sides by 180
  • n - 2 5
  • Add 2 to both sides
  • n 7 The polygon has 7 sides.

14
Similar Figures
Y
B
80deg
80deg
4
4
2
2
A
X
Z
1
2
C
50deg
50deg
50deg
50deg
angA has the same measure as angX angB has
the same measure as angY angC has the same
measure as angZ XY 4 2 AB 2
YZ 4 2 BC 2
XZ 2 2 AC 1
15
Page 238 73
  • Steve is buying a farm and needs to determine the
    height of a silo. Steve, who is 6 feet tall,
    notices that when his shadow is 9 feet long, the
    shadow of the silo is 105 feet long. How tall is
    the silo?

9 6 105 ? 9 ? 105 6 9 ?
630 ? 70 feet The silo is 70 feet tall.
?
6 ft
9 ft
105 feet
16
Area of a Trapezoid
3 m
2 m
4 m
A (1/2)h(b1 b2) A (1/2)(2)(3 4) A
(1/2)(2)(7) A 1(7) A 7 square meters
17
Circle
radius is in green diameter is in blue
2r d Twice the radius is the diameter
Circumference C 2?r or 2r? Since 2r d C ?d
Area A ?r2
18
Prisms
Pyramids
19
Examples
Page 263 8 V Bh V (6 sq yd)(6 yard) V
36 cubic yards
Page 263 14 V (1/3)Bh V (1/3)(78.5 sq
ft)(24 ft) V 628 cubic feet
20
Surface Area
  • Remember surface area is the sum of the areas of
    the surfaces of a three-dimensional figure.
  • Take your time and calculate the area of each
    side.
  • Look for sides that have the same area to lessen
    the number of calculations you have to perform.

21
Examples
Page 263 8 Area of the 2 Bases 3 yd 2 yd 6
sq yd Area of 2 sides 2 yd 6 yd 12 sq
yd Area of other 2 sides 3 yd 6 yd 18 sq
yd Surface area 6 6 12 12 18 18 72
sq yd
Page 263 14 Surface area of a cone SA pir2
pirsqrtr2 h2 SA 3.14 (5)2 3.14
5 sqrt52 242 SA 3.14 25 3.14 5
sqrt25 576 SA 78.5 15.7 sqrt601 SA
78.5 SA sq ft
22
(No Transcript)
About PowerShow.com