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CG6 Ordered Pair Rules for Compositions of Transformations

Author:Ms. Andres

Directions

Perform each composition of transformations. Choose the ordered pair rule that maps the pre-image onto the second image.

A.

Reflection across the line y = x followed by a translation by the vector <-1, 2>

A. Ordered Pair Rule

Which of the following is the ordered pair rule that maps ABCD onto A"B"C"D"?

Select all that apply

A
(x, y) (-x, y+1)
B
(x, y) (x-2, -y)
C
(x, y) (-x +2, -y)
D
(x, y) (y-1, x+2)
E
(x,y) (y + 2, -x)
F
(x, y) (-y - 2, x - 1)
G
(x, y) (-y + 3, -x + 2)

Check my answer (3)

B.

Reflection across the x-axis followed by a translation by vector <-2, 0>

B. Ordered Pair Rule

Which of the following is the ordered pair rule that maps ABCD onto A"B"C"D"?

Select all that apply

A
(x, y) (-x, y+1)
B
(x, y) (x-2, -y)
C
(x, y) (-x +2, -y)
D
(x, y) (y-1, x+2)
E
(x,y) (y + 2, -x)
F
(x, y) (-y - 2, x - 1)
G
(x, y) (-y + 3, -x + 2)

Check my answer (3)

C.

Reflection across the line y = -x followed by a translation by vector <3, 2>

C. Ordered Pair Rule

Which of the following is the ordered pair rule that maps ABCD onto A"B"C"D"?

Select all that apply

A
(x, y) (-x, y+1)
B
(x, y) (x-2, -y)
C
(x, y) (-x +2, -y)
D
(x, y) (y-1, x+2)
E
(x,y) (y + 2, -x)
F
(x, y) (-y - 2, x - 1)
G
(x, y) (-y + 3, -x + 2)

Check my answer (3)

D.

Reflection across the y-axis followed by a translation by vector <0, 1>

D. Ordered Pair Rule

Which of the following is the ordered pair rule that maps ABCD onto A"B"C"D"?

Select all that apply

A
(x, y) (-x, y+1)
B
(x, y) (x-2, -y)
C
(x, y) (-x +2, -y)
D
(x, y) (y-1, x+2)
E
(x,y) (y + 2, -x)
F
(x, y) (-y - 2, x - 1)
G
(x, y) (-y + 3, -x + 2)

Check my answer (3)

E.

180 degree rotation about the point (1, 0)

E. Ordered Pair Rule

Which of the following is the ordered pair rule that maps ABCD onto A"B"C"D"?

Select all that apply

A
(x, y) (-x, y+1)
B
(x, y) (x-2, -y)
C
(x, y) (-x +2, -y)
D
(x, y) (y-1, x+2)
E
(x,y) (y + 2, -x)
F
(x, y) (-y - 2, x - 1)
G
(x, y) (-y + 3, -x + 2)

Check my answer (3)

F.

90 degrees counterclockwise rotation about the origin followed by a translation by vector <-2, -1>

F. Ordered Pair Rule

Which of the following is the ordered pair rule that maps ABCD onto A"B"C"D"?

Select all that apply

A
(x, y) (-x, y+1)
B
(x, y) (x-2, -y)
C
(x, y) (-x +2, -y)
D
(x, y) (y-1, x+2)
E
(x,y) (y + 2, -x)
F
(x, y) (-y - 2, x - 1)
G
(x, y) (-y + 3, -x + 2)

Check my answer (3)

G.

90 degrees clockwise rotation about the point (1, -1)

G. Ordered Pair Rule

Which of the following is the ordered pair rule that maps ABCD onto A"B"C"D"?

Select all that apply

A
(x, y) (-x, y+1)
B
(x, y) (x-2, -y)
C
(x, y) (-x +2, -y)
D
(x, y) (y-1, x+2)
E
(x,y) (y + 2, -x)
F
(x, y) (-y - 2, x - 1)
G
(x, y) (-y + 3, -x + 2)

Check my answer (3)

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