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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 # 6-10CRS #16 due tomorrow
23
Module 8.2 Lesson 3 Translations Day 1.notebook
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May 03, 2016
What is a translation?Is this a translation?
Module 8.2 Lesson 3 Translations Day 1.notebook
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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
Module 8.2 Lesson 3 Translations Day 1.notebook
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May 03, 2016
AB
CA'
B'
C'
AB
C
B'
C'A'
A B
C
A'
B'
C'
AB
C
A'
C'B'
T
Which are examples of TRANSLATIONS?
Clone
TT
Module 8.2 Lesson 3 Translations Day 1.notebook
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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
Module 8.2 Lesson 3 Translations Day 1.notebook
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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 t
his
down!
Bottom of page 13
Module 8.2 Lesson 3 Translations Day 1.notebook
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May 03, 2016
Let us quick review the coordinate plane
Module 8.2 Lesson 3 Translations Day 1.notebook
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May 03, 2016
Translate triangle ABC along vector XY
A
B C
XY
7.
List points:
Pre-image Image
A( , )
B( , )
C( , )
A'( , )
B'( , )
C'( , )
A
B C
Module 8.2 Lesson 3 Translations Day 1.notebook
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May 03, 2016
Translate triangle ABC along vector XY
A
B C
XY
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
Module 8.2 Lesson 3 Translations Day 1.notebook
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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
Module 8.2 Lesson 3 Translations Day 1.notebook
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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
Module 8.2 Lesson 3 Translations Day 1.notebook
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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.
Module 8.2 Lesson 3 Translations Day 1.notebook
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May 03, 2016
Describe this Translation
AB
C
A'B'
C'
ABC A'B'C'3.
Module 8.2 Lesson 3 Translations Day 1.notebook
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May 03, 2016
ABC A'B'C'Describe the Translation!
A
B
C
A'B'
C'
4.