Transformation Rules
Transformations
Reflections
Rotations
Dilations
100

Given the pre-image point (x,y) determine the image after the following transformations: Reflection in the line y=x

What is (y,x)

100

What is the image of point (2,4) under the translation vector <-5, 1>?

What is (-3, 5)

100
What is the image of the point (2,-3) after a reflection in the x-axis
What is (2,3)
100
What are the coordinates of A', the image of A (-3,4), after a rotation of 180 degrees about the origin?
What is (3,-4)
100
The image of A(6, 10) after a dilation of k=2 is
What is (12,20)
200

The rule for..... Reflection in the line y=-x

What is (-y,-x)

200

Write the vector rule for the translation of △ABC to △A′B′C′. (x-4, y+1) < , >

What is <-4,1>

200
What is the image of the point (2,-3) after a reflection in the y-axis
What is (-2,-3)
200
What are the coordinates of A', the image of A (-3,4), after a rotation of 90 degrees about the origin?
What is (-4,-3)
200
The image of A(6, 10) after a dilation of k=1/2 is
What is (3,5)
300

The rule for..... Rotation 180 degrees about the origin

What is (-x,-y)

300
Given △ ABC with vertices A(0, 3), B(2, 4), and C(1, 0). Translate △ ABC using the vector 〈−1, −2〉 and identify the new ordered pairs
What is A' (-1,1) B' (1,2) C' (0,-2)
300

How many lines of symmetry does the letter H have?

What is 2

300
Triangle HIJ has vertices: H(-4, 1), I(-2, 2), and J(-1, -2). The coordinates of the figure after a 90 degree rotation.
What is H' (-1,-4) I' (-2,-2) J' (2,-1)
300
If the dilation with scale factor k maps A(-3, 6) to A’(-1, 2) then k is equal to which value
What is 1/3
400

The rule for...... Rotation 90 degrees about the origin

What is (-y, x)

400
The vertices of △LMN are L(2, 2), M(5, 3), and N(9, 1). Translate △LMN using the vector 〈−2, -6〉.
What is L'( 0,-4) M' (3,-3) N' (7,-5)
400

Reflect AB with endpoints A(3, −1) and B(3, 2) after a reflection in the line y = x.

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

400
What are the coordinates of A', the image of A (-3,4), after a rotation of 270 degrees about the origin?
What is (4,3)
400
Use ΔABC with vertices A(12, 12) B(12, -6) C(-6, 0) Dilate ΔABC with scale factor k=1/3 with center of dilation at the origin.
What is A'(4, 4) B'(4, -2) C'(-2, 0)
500
The rule for......... Rotation 270 degrees about the origin
What is (y, -x)
500
Write the ordered pairs of line segment RS with endpoints R(-8,5) and S(-6,8) after a translation (x,y) -> (x+5, y-2) and then (x,y) -> (x-4, y-2)
What is R" (-7,1) S" (-5,4)
500
The point A’(3,−2) is the image of A after a reflection in the line y=-x, what are the coordinates of A?
What is (2,-3)
500

Line segment A'B' has endpoints (2,3) and (-4,1) after a 90-degree rotation about the origin. What are the coordinates of the pre-image, Line segment AB?

What is (3,-2) and (1,4)

500
Use ΔABC with vertices A(8, 6) B(10, -2) C(-2, 0) Dilate the triangle using a scale factor of k=1/2, then rotate A'B'C' 180 degrees about the origin
What is A"(-4,-3)B" (-5,-1) C" (1,0)