Geometric Transformations

Translations

100

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

Slide it

200

What directions can you slide a figure for a translation?

Up, Down, Left, Right, or Diagonally

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) and you translate it left 5 units & up 7 units, what would the point at J' be?

(-2,3)

500

If point W is at (-5,0) and first you translate it right 7 units & up 3 units then you translate it left 2 units & down 3 units, what would the point at W' be?

(0,0) or the origin

Reflections

100

What does it mean to reflect an image?

Flip 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

If point X is located at (-5,-5) and it is translated 8 units to the right and 2 units up then it is reflected across the y-axis, what would the point for X' be?

(-3,-3)

Rotations

100

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

Turn it (90/180/270)

200

If you pre-image is located in quadrant II and you rotate it counter clockwise 90 degrees, 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 90 degrees clockwise, what would the point G' be?

(2,3)

500

If you have point Q at (1,-4) and it is translated left 3 units & up 5 units then it is reflected across the y-axis and finally rotated 180 degrees, what point would Q' be?

(-2,-1)

Dilations

100

What is a dilation?

An enlargement (stretch) or a reduction (shrink) of a shape on a graph

200

What is a scale factor?

Describes how much larger or smaller the image of a dilation is than the pre image

300

Preimage: (7, 8) Image: (56, 64)

What is the scale factor?

D₈

400

Preimage: (28, 83) Scale factor: 5

What is (140, 415)

500

Preimage: (53.7, 35.8) Image: (161.1, 107.4)

what is the scale factor?

D₃

Vocabulary

100

What is a pre-image?

The original image

200

What is the point of rotation?

It is the point the figure is being rotated around.

300

What is a transformation AND what are 3 out of 4 examples of transformations we have learned so far?

A transformation is changing the pre-image to an image by sliding, flipping, or turning a figure. - 

The  transformations we have learned so far are: Translation, Reflection, Rotation, Dilation

400

What does congruent mean?

Same size and shape.

500

What is the line of symmetry?

It is the line that a figure is being reflected over.