Unit 3 Transformations Review

Translations

100

What do you do to a figure when you translate it?

Move or slide it 

200

What directions can you slide a figure for a translation?

Up, Down, Left, Right

300

If point A is at (2,2) and you translate it left 5 units, what would the point at A' be?

A'(-3, 2)

400

If point B is at (-1, -2) and you translate it right 1 unit and up 4, what would the point at A' be?

B'(0, 2)

500

If point J is at (3,-4), what would the point at J' be under T_{<-5, 7>}?

J'(-2, 3)

Reflections

100

What does it mean to reflect an image?

Flip it (mirror it)

200

If your pre-image figure is in Quadrant III and you reflect it across the y-axis, what Quadrant would your image be in?

Quadrant IV

300

If your pre-image figure is in Quadrant III and you reflect it across the x-axis, what Quadrant would your image be in?

Quadrant II

400

If point A is located at (5,6) and it is reflected across the x-axis, what would point A' be?

A'(5, -6)

500

If point K is located at (-2,-4) and it is reflected across the y-axis, then what point would K' have?

K'(2, -4)

Rotations

100

When you rotate a figure, what are you doing to the figure?

Turn or spin it

200

If you have point C at (2, -4) and you rotate it 180 degrees, what would the point C' be?

C'(-2, 4)

300

If your pre-image is in Quadrant III and rotated 180 degrees, which Quadrant would your image be in?

Quadrant I

400

If you have point G at (-3, 2) and you rotate it 90 CW degrees, what would the point G' be?

G'(2, 3)

500

If you have point F at (-6, 3) and you rotate it 90 CCW degrees, what would the point F' be?

F'(-3,-6)

Dilations

100

What are the coordinates of the image after the following dilation centered at the origin? 

Preimage: (7, 2) Scale factor: 10

(70, 20)

200

What is the scale factor of the following:

Preimage: (2, 2) Image: (5, 5)

2.5 or 5/2

300

What is the scale factor of the following dilation?

Preimage: (6, 3) Image: (2, 1)

Scale factor = 1/3

400

What are the coordinates of the image after the following dilation centered at the origin? 

Preimage: (12, -4) Scale factor: 1/2

(6, -2)

500

What is the scale factor of a dilation with points F(1, 2) and F'(4, 8)?

Scale factor = 4

Rules

100

What is the rule for R₁₈₀?

Negate x and y

or (x, y) ---> (-x, -y)

200

What is the rule for r_x-axis?

Negate y only

or (x, y) ---> (x, -y)

300

What is the rule for r_y-axis?

Negate x only

or (x, y) ---> (-x, y)

400

What is the rule for Clockwise R₉₀?

switch x and y, negate new y

or (x, y) ---> (y , -x)

500

What is the rule for Counterclockwise R₉₀?

switch x and y, negate new x

or (x, y) ---> (-y , x)