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
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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
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What is a translation?Is this a translation?
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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
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Is this a translation?
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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
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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)
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Turn to page
S.14
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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
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Let us quick review the coordinate plane
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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
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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
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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
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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
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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.
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Let's Try!
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Let's Try!
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Describe this Translation
AB
C
A'B'
C'
ABC A'B'C'3.
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ABC A'B'C'Describe the Translation!
A
B
C
A'B'
C'
4.
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