Transformations Review Game

Vocabulary

100

A transformation in which a graph or geometric figure is picked up and moved to another location without any change in size or orientation.

What is translation?

200

Operations that alter the form of a figure. Examples: translations, reflections, dilations, and rotations.

What are transformations?

300

When an object is rotated on its own axis and the shape of the object looks the same.

What is rotational symmetry?

400

When one-half of the object reflects the other half of the object over one or more axes (lines) of symmetry.

What is reflectional symmetry?

500

These types of transformations move a shape from one location to another but do not affect the size and shape of the object.

What is a rigid motion transformation?

Translations

100

The vector notation to translate a shape 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 by <√25, -2²>

What is M'(1, -5) and N'(2, -7)?

500

Find the values of x, y, and the translation vector that translates D(x, y), E(-4, 1), and F(-2, 2) to D'(-1,0), E'(-7, 2.5), and F'(-5, 3.5).

What are <-3, 1.5> and (2, -1.5)?

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 y = x

What is X'(1, -3)?

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 (not 360 degrees) 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

Rotating a point by this angle of rotation about the origin is the same as reflecting over the x-axis and then the y-axis.

What is 180 degrees?

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 90 degrees about (1, 1)

What is A'(-2, 5) and B'(2, 3)?

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

The coordinates of A(1,3) and B(2,0) after the following transformations: 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, reflected about y = -x, and translated by <0, 2>.

What is Y'(-1/2, 0)?

500

Find the coordinates of B' when B(5, 5) undergoes the following transformations: translate <6, -5>, rotated counterclockwise 270 degrees, reflected about x = 1, and dilated about the origin by a scale factor of 2.

What is B'(4, -22)?