Rules of Composition of Transformations

If the figure is rotated 270° clockwise about the origin, what are the coordinates of Q'?

• (-4, 1)

• (4, -1)

• (-1, -4)

• (-1, 4)

What is the transformation from Triangle ABC to Triangle A''B''C''?

• Reflection x-axis, then rotation of 180 Degrees

• Reflection over y-axis, then rotation of 90 Degrees

• Rotation of 90 Degrees, then reflection over x-axis

• Rotation of 180 Degrees, then reflection over y-axis

Describe the transformation shown in the graph.

• Reflect over x-axis

• Reflect over y-axis

• Rotate 270 degrees CCW

• Rotate 90 degress CCW

Determine where X' would be if you translated X 3 units to the left and 9 units down.

• (-4, 4)

• (-10, 2)

• (-4, -5)

• (-1, 5)

Rotation Rules (clockwise):

90^o rotation: (x, y)→(y, -x)

What are the coordinates for A' after a 90^⁰ rotation clockwise?

• (1, 3)

• (3, 1)

• (3, -1)

• (1, -3)

Which pair of cards show a shape and its image after a rotation?

• 1 and 4

• 2 and 6

• 3 and 5

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

What is the sequence of transformations?

• Reflect over the y-axis then reflect over the x-axis

• Reflect over the x-axis then reflect over the y-axis

• Translate 4 units then rotate 90˚

• Rotate 90˚ then reflect over the x-axis

A transformation in which a second transformation is performed on an image of a first transformation is called

• Composition of transformations

• Congruence

• Consecutive steps

• Similarity

Which answer shows a reflection across the y-axis?

• a

• b

• c

• d