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Module 8.2 Lesson 6 Rotations of 180 degrees.notebook
1
May 10, 2016
HW
p 62-63 # 7, 9, 10
Module 8.2 Lesson 6
Rotations of 180 degrees
Do Now:
The measure of a supplement of an
angle is 390
more than half the
angle. Find the angles.
Module 8.2 Lesson 6 Rotations of 180 degrees.notebook
2
May 10, 2016
5.
Homework p 52 #5
Module 8.2 Lesson 6 Rotations of 180 degrees.notebook
3
May 10, 2016
6.
Homework p 52 #6
Module 8.2 Lesson 6 Rotations of 180 degrees.notebook
4
May 10, 2016
7.
Module 8.2 Lesson 6 Rotations of 180 degrees.notebook
5
May 10, 2016
Module 8.2 Lesson 6 Rotations of 180 degrees.notebook
6
May 10, 2016
Page 55
Module 8.2 Lesson 6 Rotations of 180 degrees.notebook
7
May 10, 2016
(­4,3)
(4,­3)
(x,y) (­x,­y)
Rule:
Page 55
Module 8.2 Lesson 6 Rotations of 180 degrees.notebook
8
May 10, 2016
Rules for Rotating 180 degrees
(x,y) (­x,­y)
** Rotating a figure 180 degrees clockwise is the same as
rotating a figure 180 degrees counter clockwise!!
Module 8.2 Lesson 6 Rotations of 180 degrees.notebook
9
May 10, 2016
(x,y) (­x,­y)
(2, ­4) (­2, 4)
**Start to rotate
counter-clockwise
Page 56
Module 8.2 Lesson 6 Rotations of 180 degrees.notebook
10
May 10, 2016
Page 56
(x,y) (­x,­y)
(-3,5) --> (3,-5)
Module 8.2 Lesson 6 Rotations of 180 degrees.notebook
11
May 10, 2016
(­6,6)
Page 57
Module 8.2 Lesson 6 Rotations of 180 degrees.notebook
12
May 10, 2016
Page 57
Module 8.2 Lesson 6 Rotations of 180 degrees.notebook
13
May 10, 2016
Pre­Image Image
A (1, 2)
B (4, 6)
C (7, 1)
A' (­1, ­2)
B' (­4, ­6)
C' (­7, ­1)
A'
B'
C'
Page 57
Module 8.2 Lesson 6 Rotations of 180 degrees.notebook
14
May 10, 2016
U (2, 4)
R (4, 8)
S (6, 4)
O (4, ­2)
U
R
O
S
Page 62
Module 8.2 Lesson 6 Rotations of 180 degrees.notebook
15
May 10, 2016
U (2, 4)
R (4, 8)
S (6, 4)
O (4, ­2)
O'
U
R
O
S
U (­2, ­4)
R (­4, ­8)
S (­6, ­4)
O (­4, 2)
S' U'
R'
Page 62
Module 8.2 Lesson 6 Rotations of 180 degrees.notebook
16
May 10, 2016
11.
the origin
A
B C
Page 63
Module 8.2 Lesson 6 Rotations of 180 degrees.notebook
17
May 10, 2016
11.
the origin
A
B C
A' (­4, ­3)
B' (­4, ­6)
C' (­7, ­6)
A (4, 3)
B (4, 6)
C (7, 6)
A'
B'C'
Page 63
Module 8.2 Lesson 6 Rotations of 180 degrees.notebook
18
May 10, 2016
Triangle ABC
A (1, 2)
B (1,7)
C (4,2)
Reflection over y = -x
A`
B`
C`
Module 8.2 Lesson 6 Rotations of 180 degrees.notebook
19
May 10, 2016
Rules for Rotations
90 degrees clockwise: (x,y) (y,-x)
90 degrees counter clockwise: (x,y) (-y,x)
180 degrees: (x,y) (-x,-y)
Module 8.2 Lesson 6 Rotations of 180 degrees.notebook
20
May 10, 2016
Module 8.2 Lesson 6 Rotations of 180 degrees.notebook
21
May 10, 2016

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