Vocabulary
Translations
Reflections/Dilations
Rotations
Misc.
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?
100

The formula for a figure that is translated 3 units left and 4 up.

(x, y)-->(x-3,y+4).

100

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

Enlargement

100

The formula for a rotation counterclockwise of 270 degrees.

(x, y)-->(-y,x).

100

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

What is enlargement?

200
Operations that alter the form of a figure. Examples: translations, reflections, dilations, and rotations.
What is transformations?
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)?
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)?

200
The rotation that creates the same image as a rotation 270 degrees clockwise.
What is a rotation 90 degrees counterclockwise?
200
Determine the scale factor: B(2, 5) and B'(1, 2.5).
What is scale factor = 1/2?
300
The transformation that is a combination of a reflection and a translation.
What is glide reflection?
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)?
300

What is the formula for reflecting points over the line y=x?

(x,y)---->(y,x)

300

The formula for a rotation counterclockwise of 90 degrees.

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

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
A transformation in which a plane figure turns around a fixed center point.
What is rotation?
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)?
400

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

Y'(2, 1/2), X'(3,1) and Z'(-1,0)

400

The formula for a rotation counterclockwise of 180 degrees.

(x, y)-->(-x,-y).

400

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

Y'(2, 1/2), X'(3,1) and Z'(-1,0)

500
A transformations that preserves distance; e.g. reflection, rotation, and translation.
What is an isometry?
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)?
500

The formula for reflecting over the line y=-x

(x,y)----->(-y,-x)

500

Find the coordinates of A' and B' when A(-3, -2) and B(-1, 2) are rotated counterclockwise 270 degrees.

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

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)?
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