Transformation Interactive Notes - Ms. Olsen's Weebly

Transformations

Interactive Notes

Translations, Dilations, Rotations and Reflections

This product involves four pages of interactive notes on

translations, dilations, rotations and reflections. Each note page

provides an opportunity for students to complete the definition,

examine and compare the angles and sides of the images, list the

pre-image and image coordinates and to describe in words the

transformation completed. A graph is provided with the pre-image.

Students can use colored pencils to graph the additional images.

An answer key is provided.

Complete the notes on transformations. Cut out the notes along the dotted lines and glue them in your notebook.

Translations

Translations

A transformation in which each point of a figure moves

the same

in the same

.

A transformation in which each point of a figure moves

the same

in the same

.

In a translation, the pre-image & image are

In a translation, the pre-image & image are

The corresponding angles have the

The corresponding sides have the

.

measurement.

measurement.

The corresponding angles have the

The corresponding sides have the

.

measurement.

measurement.

Look at the graph below. Record the coordinate pairs

for the pre-image. Using the pre-image points, create

two new translated images.

Look at the graph below. Record the coordinate pairs

for the pre-image. Using the pre-image points, create

two new translated images.

Pre-Image

)

Pre-Image

A(

,

)

B(

)

Image

(x + 5, y + 2)

A? (

,

)

B? (

A? (

,

)

,

)

B(

B? (

,

)

,

C(

)

C? (

,

,

A? (

,

)

B? (

,

)

C? (

,

)

B

C(

,

)

,

)

C? (

,

)

Image

(x + 8, y - 8)

A? (

,

)

B? (

,

)

C? (

,

)

In words, describe the translation.

In words, describe the translation.

Using two different

colored pencils, graph the

new images. Make sure to

label both figures.

A

)

In words, describe the translation.

In words, describe the translation.

Image

(x + 8, y - 8)

,

B

C

Using two different

colored pencils, graph the

new images. Make sure to

label both figures.

A

C

What rule could be used to

translate the figure so it

would be located in

quadrant 3?

What rule could be used to

translate the figure so it

would be located in

quadrant 3?

(

(

,

)

,

)

? The Clever Clover, 2016

Image

(x + 5, y + 2)

A(

Dilations

Dilations

A transformation in which each point of a figure

or

with respect to a fixed point,

called the

.

A transformation in which each point of a figure

or

with respect to a fixed point,

called the

.

In a translation, the pre-image & image are

.

The corresponding angles have the

measurement.

The corresponding sides are

.

In a translation, the pre-image & image are

.

The corresponding angles have the

measurement.

The corresponding sides are

.

Look at the graph below. Record the coordinate pairs

for the pre-image. Using the pre-image points, create

two new translated images.

Look at the graph below. Record the coordinate pairs

for the pre-image. Using the pre-image points, create

two new translated images.

Pre-Image

)

Pre-Image

A(

,

)

B(

)

Image

(2x, 2y)

A? (

,

)

B? (

Image

(2x, 2y)

,

A? (

)

,

)

B(

B? (

,

)

,

C(

)

C? (

,

,

"

A? (

"

,

)

B? (

,

)

C? (

,

)

In words, describe the dilation.

Using two different

colored pencils, graph the

new images. Make sure to

label both figures.

A

B

C

)

C(

,

)

,

)

C? (

,

)

,

)

C? (

,

)

In words, describe the dilation.

In words, describe the dilation.

Image

! !

( x, y)

,

Compare the area of the

pre-image to the image.

Did the area double in size?

Image

! !

( x, y)

"

A? (

"

,

)

B? (

In words, describe the dilation.

Using two different

colored pencils, graph the

new images. Make sure to

label both figures.

A

B

C

Compare the area of the

pre-image to the image.

Did the area double in size?

? The Clever Clover, 2016

A(

Complete the notes on transformations. Cut out the notes along the dotted lines and glue them in your notebook.

Rotations

A transformation in which a figure is

a given angle, called the

direction about a fixed point, called the

through

, and in a given

.

A transformation in which a figure is

a given angle, called the

direction about a fixed point, called the

through

, and in a given

.

In a rotation, the pre-image & image are

.

The corresponding angles have the

measurement.

The corresponding sides have the

measurement.

In a rotation, the pre-image & image are

.

The corresponding angles have the

measurement.

The corresponding sides have the

measurement.

90¡ã Clockwise

180¡ã Rotation

90¡ã Clockwise

(x, y) f (-x, -y)

(x, y) f (y, -x)

90¡ã Counter Clockwise

(x, y) f (y, -x)

(x, y) f (-y, x)

180¡ã Rotation

90¡ã Counter Clockwise

(x, y) f (-y, x)

(x, y) f (-x, -y)

Look at the graph below. Record the coordinate pairs

for the pre-image. Using the pre-image points, create

three new rotated images.

Look at the graph below. Record the coordinate pairs

for the pre-image. Using the pre-image points, create

three new rotated images.

Pre-Image

Coordinates

A(

,

)

B(

90¡ã

Clockwise

A? (

,

)

B? (

90¡ã Counter

Clockwise

A? (

,

)

180¡ã

Rotation

A? (

,

)

C(

,

)

Pre-Image

Coordinates

A(

,

)

B(

,

)

C? (

,

)

90¡ã

Clockwise

A? (

,

)

B? (

B? (

,

)

C? (

,

)

90¡ã Counter

Clockwise

A? (

,

)

B? (

,

)

C? (

,

)

180¡ã

Rotation

A? (

,

)

Using three different

colored pencils, graph the

new images. Make sure to

label all of the figures.

A

B

)

,

C

What would the

coordinates be if the

pre-image was rotated

270¡ã clockwise?

)

C(

,

)

,

)

C? (

,

)

B? (

,

)

C? (

,

)

B? (

,

)

C? (

,

)

Using three different

colored pencils, graph the

new images. Make sure to

label all of the figures.

A

B

,

C

What would the

coordinates be if the

pre-image was rotated

270¡ã clockwise?

? The Clever Clover, 2016

Rotations

 ................
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