today’s lesson: what: transformations (translations)... why: to introduce transformations and...

Today’s Lesson:What:

transformations (Translations). . .

Why: To introduce transformations and begin performing translations .

What is a transformation??

A transformation refers to a specific way a figure in geometry is either changed or __________________ to create a different image.

4 Types of Transformations:

1) Translation

2) Reflection

A AI

A AI

moved

3) Rotation

4) Dilation

A AI

Let’s focus on translations . . .

A AI

A AI

PRE-IMAGE IMAGE

We call this “A___________.”

First things first . . .

Perform the following translations:

1) Translate the figure (2, -4):

This means two units to the RIGHT and four units DOWN!

Perform the following translations:

2) Translate the figure (-3, 1):

This means three units to the LEFT and ONE unit up!

Perform the following translations:

3) Translate the figure (-4, -4):

This means four units to the LEFT and four units DOWN!

Perform the following translations:

4) Translate the figure (6, -2):

This means six units to the RIGHT and two units DOWN!

1)If point A is located at (2, 5) and is translated three units to the left and two units up, where would A1 be?

2)If point A is located at (-4, 2) and is translated five units to the right and four units down, where would A1 be?

(-1, 7)

(1, -2)

END OF LESSON

The next slides are student copies of the notes for this lesson. These notes were handed out in class

and filled-in as the lesson progressed.

NOTE: The last slide(s) in any lesson slideshow (entitled “Practice Work”)

represent the homework assigned for that day.

Math-7 NOTES DATE: ______/_______/_______What: transformations (Translations). . .

Why: To introduce transformations and begin performing translations .

NAME:

What is a transformation??

A transformation refers to a specific way a figure in geometry is either changed or __________________ to create a different image.

Translations:

4 Types of Transformations:

1) Translation

2) Reflection

3) Rotation

4) Dilation

A AI

A AI

A AI

A AI

A AI

PRE-IMAGE IMAGE

We call this “A___________.”

Perform the following translations:

1) Translate the figure (2, -4): 2) Translate the figure (-3, 1):

3) Translate the figure (-4, -4): 4) Translate the figure (6, -2):

1) If point A is located at (2, 5) and is translated three units to the left and two units up, where would A1 be?

2) If point A is located at (-4, 2) and is translated five units to the right and four units down, where would A1 be?

This means two units to the right and four units down!

Math-7 Practice/ homework“translations”

NAME: ____________________________DATE: ______/_______/_______

(-1, 0) (1, -2)

(3, 0) (1, -2)

9) 10)

11) 12)