1.7 Transformations

Which rule would give the translation from point P (2, 5) to the image P′ (−1, 7)?

• Move 3 units left and 2 units up.
• Move 3 units right and 2 units up.
• Move 3 units left and 7 units up.
• Move 2 units right and 2 units up.

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

Which reflection does the image show?

• Reflection across the x-axis according to the rule (x, y) → (x, −y)
• Reflection across the y-axis according to the rule (x, y) → (x, −y)
• Reflection across the x-axis according to the rule (x, y) → (−x, y)
• Reflection across the y-axis according to the rule (x, y) → (−x, y)

Triangle ABC is rotated 270° counterclockwise about the origin. Which is the algebraic rule applied to one of the vertices?

• (−1, −4) → (−4, 1)
• (−4, −1) → (−4 + 5, 1 + 3)
• (−4, 1) → (−1, −(−4))
• (−4, 1) → (1, −(−4))

How far has the figure been rotated?

• 45°
• 90°
• 180°
• 360°

An arrow that points north is rotated 90° clockwise. What direction does the arrow point after the rotation?

• northeast
• east
• west
• southwest

What counterclockwise rotation will result in the same image as a 90° clockwise rotation?

• 60°
• 90°
• 180°
• 270°

The rectangle above is rotated 90° clockwise. Which shows the image of the rectangle after the rotation?

• Graph F
• Graph G
• Graph H
• Graph J

Choose the correct transformation

• Translation

• Reflection

• Rotation

Choose the correct transformation

• Reflection

• Rotation

• Translation