CG2 Coordinate Properties of Transformations

Directions

Perform each transformation. Answer each question that follows.

A.

Translate the polygon using the vector <2, -3>. How far horizontally and vertically did the polygon move?

A. Ordered Pair Rule

Which of the following is the ordered pair rule for the above translation?

(x, y)[math]\longrightarrow[/math] (2x, 3y) (x, y) [math]\longrightarrow[/math] (x - 3, y + 2) (x, y) [math]\longrightarrow[/math] (x - 2, y + 3) (x, y) [math]\longrightarrow[/math] (x + 2, y - 3)

B.

Transform the polygon by reflecting it across the x-axis.

B. Ordered Pair Rule

Which of the following is the ordered pair rule that reflects a figure across the x-axis?

(x, y)[math]\longrightarrow[/math] (y, x) (x, y) [math]\longrightarrow[/math] (-x, y) (x, y) [math]\longrightarrow[/math] (x, -y) (x, y) [math]\longrightarrow[/math] (-x, -y)

C.

Rotate the polygon 90[math]^\circ[/math] clockwise about the origin.

C. Ordered Pair Rule

Which of the following is the ordered pair rule for a rotation 90 degrees clockwise about the origin?

(x, y)[math]\longrightarrow[/math] (y, -x) (x, y) [math]\longrightarrow[/math](-x, y+1) (x, y) [math]\longrightarrow[/math] (x - 1, -y) (x, y) [math]\longrightarrow[/math](x, -y)

D.

Reflect the polygon across the y-axis.

D. Ordered Pair Rule

What is the ordered pair rule for a reflection across the y-axis?

E.

Rotate the polygon 180[math]^\circ[/math] about the origin.

E. Ordered Pair Rule

What is the ordered pair rule for a rotation 180 degrees about the origin?

F.

Reflect the polygon across the line y = x.

F. Ordered Pair Rule

What is the ordered pair rule for a reflection across the line y = x?

G.

Rotate the polygon 90[math]^\circ[/math] counterclockwise about the origin.

G. Ordered Pair Rule

What is the ordered pair rule for a rotation 90 counterclockwise about the origin?

H.

Reflect the polygon across the line y = -x.

H. Ordered Pair Rule

What is the ordered pair rule for a reflection across the line y = -x?