Transformations on a Coordinate Plane

For this assignment, you will be required to

do the following:

 

1. Define transformations

2. Identify transformations graphically

3. Identify transformations algebraically

4. Graph transformations.

Choose the correct word for the following

statement:

 

A change in position, size or shape of a figure is called

a(n) ___________________.

Translation

Transformation
Reflection
Rotation

Choose the correct word for the following

statement:

 

A transformation in which all points move the same

distance in the same direction is called a(n) _____.

Translation

Transformation
Reflection
Rotation

Choose the correct word for the following

statement:

 

A transformation in which every point on a figure turns

around a fixed point at the same angle.

Translation

Transformation
Reflection
Rotation

Choose the correct word for the following

statement:

 

A transformation in which a geometric figure is flipped

across a line creating a mirror image.

Translation

Transformation
Reflection
Rotation

When completing a transformation, the figure

before the transformation is called the ________________

and the figure after the transformation is called

the __________________.

original image, second image
first image, second image

primary image, secondary image

preimage, image

Identify the algebraic rule that would translate a

figure 3 units left and 2 units up.

R(x,y) --> (x+3, y+2)

H(x,y) --> (x-3, y+2)
N(x,y) --> (x+3, y-2)
M(x,y) --> (x-3, y-2)

Identify the algebraic rule that would rotate a

figure 90 degrees clockwise.

R(x,y) --> (x, -y)

H(x,y) --> (-y, x)
N(x,y) --> (y, -x)
M(x,y) --> (y, x)

Identify the algebraic rule that would rotate a

figure 90 degrees counterclockwise.

R(x,y) --> (x, -y)

H(x,y) --> (-y, x)
N(x,y) --> (y, -x)
M(x,y) --> (y, x)

Identify the algebraic rule that would rotate a

figure 180 degrees.

R(x,y) --> (-x, -y)

H(x,y) --> (-x, y)
N(x,y) --> (y, x)
M(x,y) --> (x, -y)

How would the following rule transform a figure?

 

H(x,y) ---> (x+1, y-3)

Translation one unit left and three units up.

Translation one unit right and three units up.

Translation one unit left and three units down.

Translation one unit right and three units down.

How would the following rule transform a figure?

 

H(x,y) ---> (-x, y)

Translation one unit left.

Reflection across the x-axis.

Reflection across the y-axis.

Reflection across the y=x line.

How would the following rule transform a figure?

 

H(x,y) ---> (x, -y)

Translation one unit down

Reflection across the x-axis.

Reflection across the y-axis.

Reflection across the y=x line.

How would the following rule transform a figure?

 

H(x,y) ---> (y, x)

Rotation of 90 degrees counterclockwise.

Reflection across the x-axis.

Reflection across the y-axis.

Reflection across the y=x line.

For the following question, use point A(-3,7) as

your preimage.

 

What is the image of point A after it is translated 4 units

to the left and 5 units up?

A'(1,12)
A'(1,2)
A'(-7,12)
A'(-7,2)

For the following question, use point A(-3,7) as

your preimage.

 

What is the image of point A after it is reflected across

the y=x line?

A'(3,7)
A'(7,-3)
A'(-3,-7)
A'(3,-7)

For the following question, use point A(-3,7) as

your preimage.

 

What is the image of point A after it is rotated 180

degrees about the origin?

A'(3,7)
A'(7,-3)
A'(-3,-7)
A'(3,-7)
A
B

C

If the figure is reflected

across the y-axis, what

would the new coordinate

for point C be? (Be sure to

use parenthesis in your

answer.)

A
B

C

If the figure is rotated 90

degrees clockwise, what

would the new coordinate

for point A be?

A
B

C

If the figure is reflected

across the x-axis, what

would the new coordinate

for point B be?

A
A'
B
 B'

C

C'

 H(x,y) --> (x-2, y+4)

H(x,y) --> (x-2, y-4)
H(x,y) --> (x+2 , y+4)

Identify the rule that

matches the transformation

shown in the diagram.

H(x,y) --> (x+2, y-4)
A
B

C

Label the points correctly

after a reflection over the

x-axis.

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