Transformations Review Game

Translations

100

The point A(3,0) has been translated _______ times to the point A''''(4,-10).

What is four times?

200

Find the coordinates of A' if segment AB with A(2, 4) and B(-1, 1) is translated by (x+2, y-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 (x-5, y+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 coordinates of X' when XY with X(-3, 1) and Y(-1, 4) is reflected over the x-axis.

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

200

The coordinates of Y' when XY with X(5, 6) and Y(-2, -3) is reflected over the line y=-x. 

What is Y'(3,2)?

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) and  Y(-2, -2) is reflected to X'(-2, 0), Y'(-4, -2).

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

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)?

500

Rotate the point (3,-7) 90 degrees counterclockwise around the point (1,2). 

What is the point (10,4)?

Dilations/Compositions

100

Enlargement or Reduction: Dilation by a scale factor of 4/3.

What is enlargement?

200

Determine the scale factor: B(2, 5) and B'(1, 2.5).

What is scale factor = 1/2?

300

Find the coordinates of A" of the line AB where A(4,6) and B(3,3) after the following glide reflection: translated by (x-3, y+1), then reflected over y=-2.

What is A"(1, 11)?

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)?