Geometry Transformations

Dilations

100

Is the preimage congruent to the image after a dilation? 

No

200

If we have a transformation rule (x,y) --> (kx,ky), what is "k" referred to as?

Scale Factor

300

What scale factor would I need to use if I were trying to make my poster go from 8 inches wide and 12 inches long to 2 inches wide and 3 inches long?

1/4

400

A triangle has vertices F (6,4), G (6,-2), H (2,-2) and is dilated by a scale factor of 1/2. What are the coordinates of its image?

(3,2), (3,-1), (1,-1)

500

Describe the transformation that happened to a triangle whose original points were A (-2,1),     B (-1,1), C (-1,2) and the points after the transformation are A' (8,4), B' (4,4), C' (4,8). 

Reflected over the y-axis
Dilation by a factor of 4

Translation

100

If coordinate P (2,1) is translated 3 units up, what is the coordinates of P'?

(2,4)

200

If coordinate X (3,5) is translated 2 units down, what are the coordinates of X'?

(3,3)

300

If coordinate G (-1, -5) is translated 2 units right and 4 units up, what are the coordinates of G'?

(1, -1)

400

If coordinate J (9,8) is translated 10 units left and 1 unit up, what are the coordinates of J'?

(-1, 9)

500

 A triangle is translated 4 units down and 8 units to the right.  Which translation returns it to its original location?

A  (x, y) --> (x - 8, y + 4)

B  (x, y) --> (x - 4, y + 8)

C  (x, y) --> (x + 4, y - 8)

D (x, y) --> (x + 8, y - 4)

A  (x, y) --> (x - 8, y + 4)

Reflection

100

If coordinate C (9,1) is reflected over the x axis, what are the coordinates of C'?

(9, -1)

200

If coordinate I (8, 7) is reflected over the y axis, what are the coordinates of I'?

(-8, 7)

300

If coordinate U (0,9) is reflected over the x axis, what are the coordinates of U'?

(0, -9)

400

If coordinate V (1,1) is reflected over the Y axis and then translated up 1 unit, what is the new coordinate?

(-1, 0)

500

If coordinate H (5,7) is translated 2 units down and then reflected over the x axis, what are the coordinates of H'?

(5,-5)

Vocabulary

100

What is a function that moves or changes a figure in some way to produce a new figure?

Trasnformation

200

What is the word for moving a shape without changing its size, shape, or orientation?

translation

300

What is the word for flipping a shape over an axis?

Reflection

400

What is the original image called?

Preimage

500

What is the transformed shape called?

image

Rotation

100

The point at (0, 6) is rotated 180^o about the origin.  What are the coordinates of the image of the point?

(0, -6)

200

Describe the transformation of the algebraic rule below:

(x,y) --> (-x, -y) 

It is a 180^o rotation around the origin.

300

Which rotations result in the image being in the same location?

90^o clockwise about the origin

270^o clockwise about the origin

90^o counterclockwise about the origin

270^o counterclockwise about the origin

90^o clockwise and 270^o counterclockwise rotations

and

90^o counterclockwise and 270^o clockwise rotation

400

A trapezoid has been rotated 270^o counterclockwise about the origin.  Is it true that the y-coordinates of the new trapezoid are the same as the y-coordinates of the original trapezoid?

No

500

A triangle has vertices at (-2, -2), (-2, -5), and (-4, -5).  The triangle is translated 2 units to the right and rotated 90^o clockwise about the origin.  What are the coordinates of its image?

(-2, 0), (-5, 0), (-5, -2)