Compositions

The rule r y = x • T4, 0 (x, y) is applied to trapezoid ABCD to produce the final image A"B"C"D". Which ordered pairs name the coordinates of vertices of the pre-image, trapezoid ABCD? Check all that apply.

(-1, 0) (-1, 5) (1, -1) (1, -4)

The rule T 5, -0.5 • RO, 180° (x, y) is applied to FGH to produce F"G"H". What are the coordinates of vertex F" of F"G"H"?

a. (4, -1.5)

The rule r y-axis • RO, 90° (x, y). Which triangle shows the final image?

a. 1

Which composition of transformation maps figure EFGH to figure E"F"G"H"?

a. a reflection across line k followed by a translation down

Which rule describes the composition of transformations that maps pre-image ABCD to final image A"B"C"D"?

b. T -6, 1 ° r x-axis (x, y)

What is the final transformation in the composition of transformations that maps pre-image GHJK to image G'H''J''K''?

b. a reflection across line m

Which rule describes the composition of transformations that maps figure PQRS to figure P"Q"R"S"?

b. rl • R Q, 180°

Triangle JKL is transformed using the tule R 0,90° • r y = -x (x, y). Point K of the pre-image is at (4, 7). What are the coordinates of point K'' on the final image?

c. (4, -7)

Which rule describes the composition of transformations that maps BCD to B"C"D"?

c. T 6, -5° r y-axis (x, y)

What is the final transformation in the composition of transformations that maps pre-image ABCD to image A"B"C"D"?

c. a 270° rotation about point B'

Square A"B"C"D" is the final image after the rule T -4, -1 • R 0, 90° (x, y) was applied to square ABCD. What are the coordinates of vertex A of square ABCD?

d. (-2, 1)

Figure WXYZ is transformed using the rule r y-axis • T -4, 2 (x, y). Point W of the pre-image is at (1, 6). What are the coordinates of point W'' on the final image?

d. (3, 8)

Which rule describes the composition of transformations that maps ABC to A"B"C"?

d. R B', 270° • rm

Which rule describes the composition of transformations that maps JKL to J"K"L"?

d. T -2,0 °R 0, 90° (x, y)