Describing effects of transformations

Point R′ (−2, 8) is the image of point R (−2, 2). Which of the following could be that transformation?

• A reflection across the y-axis
• A dilation with a scale factor of 4
• A translation of 6 units up
• A translation of 6 units to the right

If you perform any sequence of rigid transformations, what must always be true?

• The figures will be congruent.

• The figures will be different sizes.

Which transformation will always produce the same image as a rotation 90 degrees counterclockwise?

• A reflection over the y-axis

• A rotation 270 degrees clockwise

• A rotation 90 degrees clockwise

• A reflection over the x-axis

Which of the following transformations will map TUVW onto T'U'V'W'?

Select all that apply!

• Rotate 270 degrees CCW and then a reflection over the line y=x.

• Rotation of 90 degrees CCW, then a reflection over the y- axis.

• Reflection over the x-axis and then reflection over the y-axis.

• Rotation of 180 degrees CCW.

Does the mirror line y=x map shape A onto shape E?

• Yes

• No

Which option does NOT accurately describe the transformation from triangle ABC to A'B'C'.

Describe the transformations that map ABC onto A"B"C"

• translate 5 up and 1 left then reflect over y
• translate 5 down and 1 left, then reflect over y
• reflect over y=x then translate left 8
• reflect over x then rotate 90 clockwise

Which of the following describes the sequence of transformations shown?

• Reflection followed by a rotation.

• Rotation followed by a translation.

• Reflection across the x-axis followed by a reflection across the y-axis.

• Translation followed by a rotation.

What sequence of transformations will get you from shape 1 to shape 2 to shape 3 in three steps?

• Rotation, then Dilation, then Reflection
• Translation, then Reflection, then Rotation
• Reflection, then
  Dilation, then Rotation
• Dilation, then Translation, then Reflection

In a rotation, if a figure rotates around a point outside itself, which of the following is true?

• The figure will always map onto itself.

• The figure will never map onto itself.

• The figure may map onto itself depending on the angle of rotation.

• The figure will enlarge.