Unit 5: Transformations Review Game

Dilations

100

True or false: A dilation does not change the size of a shape? Why?

False, it enlarges or reduces it.

200

What is the new image of G(8, 10) if it undergoes a dilation by a factor of 25?

G'(200, 250)

300

What is the dilation factor if A(-2, 3) mapped to A'(-0.9, 1.35)?

k=0.45

400

Dilation of 1/8 of A(-4, -6) B(1/2, 1/3) C(-5, -7)? Leave in simplest fraction form!

A(-1/2, -6/8) B'(1/16, 1/24) C'(-5/8, -7/8)

500

What is the original image of D'(-8, -12) E'(-8, 12) F'(12, -8) if it underwent a dilation by 2?

D(-4, -6) E(-4, 6) F(6, -4)

Translations

100

The vector notation for a figure that is translated 3 units left.

What is <-3, 0>?

200

Find the coordinates of A' if segment AB with A(2, 4) and B(-1, 1) is translated by <2, -5>.

What is A'(4, -1)?

300

Find the coordinates of X', Y', and Z' when triangle XYZ with X(0,3), Y(3, -2), and Z(4,0) is translated by <-5, 1>.

What is X'(-5, 4), Y'(-2, -1), and Z'(-1, 1)?

400

Find the coordinates of M' and N' when MN with M(-4, -1) and N(-3, -3) is translated 5 units right and 2 units up.

What is M'(1, 1) and N'(2, -1)?

500

The coordinate mapping when D(-5, 4), E(-4, 1), and F(-2, 1) are translated to D'(-5,0), E'(-4, -3), and F'(-2, -3).

What is (x, y)-->(x, y-4)?

Reflections

100

The equation for the line of reflection if a figure is reflected over the y-axis.

What is x=0?

200

The coordinates of X' when XY with X(-3, 1) and Y(-1, 4) is reflected over the x-axis.

What is X'(-3, -1)?

300

The coordinates of M', N', and O' when triangle MNO with M(-2, -4), N(-3, 1), and O(0, 2) is reflected over the line x=2.

What is M'(6, -4), N'(7, 1), and O'(4, 2)?

400

The line of reflection when A(-2, 0), B(1, 3), and C(3, -4) is reflected to A'(-2, -2), B'(1, -5), and C'(3, 2).

What is y=-1?

500

The line of reflection when X(-4, 0), Y(-2, -2), and Z(0, -8) is reflected to X'(-2, 0), Y'(-4, -2), and Z'(-6, -8).

What is x=-3?

Rotations

100

This angle of rotation creates the same image if it's rotated clockwise or counterclockwise.

What is a rotation of 180 degrees?

200

The rotation that creates the same image as a rotation 270 degrees clockwise.

What is a rotation 90 degrees counterclockwise?

300

The coordinate mapping for a rotation clockwise of 90 degrees.

What is (x, y)-->(y, -x)

400

This angle of rotation maps (x, y)-->(-y, x).

What is rotation 270 degrees clockwise or 90 degrees counterclockwise?

500

Find the coordinates of A' and B' when A(-3, -2) and B(-1, 2) are rotated clockwise 180 degrees.

What is A'(3, 2) and B'(1, -2)?

Compositions

100

Does the figure change size with a translation of 4 units up and 5 units right, as well as a dilation with a scale factor of 2? Why?

Yes because of the dilation.

200

Is a scale factor of 1/2 and a translation a reduction, enlargement, or no change in size?

Reduction

300

Find the coordinates of A" and B" after the following glide reflection: translated by <-3, 1>, then reflected over y=-2.

What is A"(-2, -8) and B"(-1, -5)?

400

Find the coordinates of Y' when X(12, 4), Y(8,2) and Z(-4,0) are dilated by a scale factor of 1/4.

What is Y'(2, 1/2)?

500

Find the coordinates of B" when A(5, 0), B(5, 5), and C(2,4) undergo the following composition: translate (x, y)-->(x+6, y-5), then rotate counterclockwise 270 degrees.

What is B"(0, -11)?