g1 lesson 3 day 1 translations

G1 Lesson 3 Day 1 Translations.notebook

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Module 8.2 Lesson 3 Day 1

Translating Lines

Do Now:

Supplemental Practice

pg 20-22

Explain your procedure for translating a figure along a vector.


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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

http://www.harpercollege.edu/~skoswatt/RigidMotions/translation.html


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Is this a translation?


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AB

CA'

B'

C'

AB

C

B'

C'A'

AB

C

A'B'

C'

AB

C

A'

C'B'

T

Which are examples of TRANSLATIONS?

Clone

T T


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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)

pg 13


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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!

S.18


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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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Closing Activity:

Explain your procedure for translating a figure on the coordinate plane.


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g1 lesson 3 day 1 translations

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