notes

1. Module 8.2 Lesson 3 Translations Day 1.notebook
1
May 03, 2016
Module 8.2 Lesson 3
Day 1
Translating Lines
HW
Do Now:
Solve the following equation.
(x - 6) = -7
pg 21- 22 # 6-10
CRS #16 due tomorrow
2
3

2. Module 8.2 Lesson 3 Translations Day 1.notebook
2
May 03, 2016
What is a translation?
Is this a translation?

3. Module 8.2 Lesson 3 Translations Day 1.notebook
3
May 03, 2016
A translation is a transformation where all the
points of a figure are moved the same distance in
the same direction.
A translation is an isometry, so the image is
congruent to the pre-image.
Is a translation isometric?
pg 13

4. Module 8.2 Lesson 3 Translations Day 1.notebook
4
May 03, 2016
Is this a translation?

5. Module 8.2 Lesson 3 Translations Day 1.notebook
5
May 03, 2016
A
B
C
A'
B'
C'
A
B
C
B'
C'
A'
A
B
C
A'
B'
C'
A
B
C
A'
C'
B'
T
Which are examples of TRANSLATIONS?
Clone
TT

6. Module 8.2 Lesson 3 Translations Day 1.notebook
6
May 03, 2016
There are 4 ways a translation can be seen
1. Using a Vector (on & off the coordinate plane)
ex) Translate Pt P along vector AB
2. Description Translation
ex) Translate 2 units to the right and 3 units down.
3. Mapping Translation
ex) (x,y) (x+2, y-7)
4. Notation Translation
ex) T(2,-3)
pg 13

7. Module 8.2 Lesson 3 Translations Day 1.notebook
7
May 03, 2016
Turn to page
S.14

8. Module 8.2 Lesson 3 Translations Day 1.notebook
8
May 03, 2016
S.15

9. Module 8.2 Lesson 3 Translations Day 1.notebook
9
May 03, 2016

10. Module 8.2 Lesson 3 Translations Day 1.notebook
10
May 03, 2016
Properties of Translations
1. Distance (lengths of segments are the same)
2. Angle measures (remain the same)
3. Parallelism (parallel lines remain parallel)
4. Colinearity (points stay on the same lines)
5. Midpoint (midpoints remain the same in each figure)
6. Orientation (lettering order remains the same)
Write this
down!
Write this
down!
Bottom of page 13

11. Module 8.2 Lesson 3 Translations Day 1.notebook
11
May 03, 2016
Let us quick review the coordinate plane

12. Module 8.2 Lesson 3 Translations Day 1.notebook
12
May 03, 2016
Translate triangle ABC along vector XY
A
B C
X
Y
7.
List points:
Pre-image Image
A( , )
B( , )
C( , )
A'( , )
B'( , )
C'( , )
A
B C

13. Module 8.2 Lesson 3 Translations Day 1.notebook
13
May 03, 2016
Translate triangle ABC along vector XY
A
B C
X
Y
7.
List points:
Pre-image Image
A(-4, 3)
B(-5, 1)
C(-3, 1)
A'(-1, 4)
B'(-2, 2)
C'(0, 2)
A
B C

14. Module 8.2 Lesson 3 Translations Day 1.notebook
14
May 03, 2016
Translate triangle ABC along vector XYA
B C
X
Y
8.
List points:
Pre-image Image
A( , )
B( , )
C( , )
A'( , )
B'( , )
C'( , )
A
B C

15. Module 8.2 Lesson 3 Translations Day 1.notebook
15
May 03, 2016
Translate triangle ABC along vector XYA
B C
X
Y
8.
List points:
Pre-image Image
A(4, 6)
B(3, 4)
C(5, 4)
A'(6, 3)
B'(5, 1)
C'(7, 1)
A
B C

16. Module 8.2 Lesson 3 Translations Day 1.notebook
16
May 03, 2016
EVERY POINT on the figure
undergoes the SAME transformation
Description = a verbal expression
Describe each translation using words like
units, up, down, left, and right.

17. Module 8.2 Lesson 3 Translations Day 1.notebook
17
May 03, 2016
Let's Try!
S.18

18. Module 8.2 Lesson 3 Translations Day 1.notebook
18
May 03, 2016
Let's Try!
S.18

19. Module 8.2 Lesson 3 Translations Day 1.notebook
19
May 03, 2016

20. Module 8.2 Lesson 3 Translations Day 1.notebook
20
May 03, 2016

21. Module 8.2 Lesson 3 Translations Day 1.notebook
21
May 03, 2016
Describe this Translation
A
B
C
A'
B'
C'
ABC A'B'C'3.

22. Module 8.2 Lesson 3 Translations Day 1.notebook
22
May 03, 2016
ABC A'B'C'Describe the
Translation!
A
B
C
A'
B'
C'
4.

23. Module 8.2 Lesson 3 Translations Day 1.notebook
23
May 03, 2016