Geometric Transformations

Translations

100

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

Slide it 

200

Take point H (-4,5) and Translate it 4 left and 5 up.

H' (-8,10)

300

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

(-3,2)

400

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

(-2,3)

500

If point W is at (-5,0), what is W'' after the composition T_{<-2, -3>} o T_{<7, 3>} ?

(0,0) or the origin

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

(5,-6)

400

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

(2,4)

500

Point X is located at (-5,-5). After the composition                r_y-axis o T_{8, 2} what will X'' be?

(-3,-3)

Rotations

100

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

Turn it

200

If you pre-image is located in quadrant II and you rotate it 90 degrees CCW, what quadrant would your image be located in?

Quadrant III

300

If your pre-image is located in quadrant III and it is rotated 180 degrees, what quadrant would your image be located in?

Quadrant I

400

If you have point G at (-3,2) and you rotate it 270 degrees CCW, what would the point G' be?

(2,3)

500

If you have point Q at (1,-4), what point would Q''' be after the composition r₁₈₀ o R_y-axis o T_{<-3, 5>}?

(-2,-1)

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)

What is 2.5? (5/2)

300

What is the scale factor of the following dilation?

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

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

A dilation of 1/4 of point G(-4,12) with the center at the origin. What is G'?

(-1, 3)

Rules

100

T or F When doing a series of transformations... always start with the LAST listed transformation and work backward. 

TRUE

200

How would A be labeled after two transformations?

A''

300

What is the rule for R₁₈₀?

(-x , -y)

400

What is the rule for R_{90 CCW}?

(-y , x)

500

What rotation would give you the same result as R_{270 ccw}?

Clockwise R₉₀