Rigid 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

In the figure, triangle PQR has vertices P(0, −1), Q(3, −1) and R(5, −3). What are the vertices of the image after the translation (x, y) → (x − 5, y + 1)?

• P′ (1, −6), Q′ (4, −6), R′ (6, −8)
• P′ (−5, 0), Q′ (−2, 0), R′ (0, −2)
• P′ (5, −2), Q′ (8, −2), R′ (10, −4)
• P′ (−1, 4), Q′ (2, 4), R′ (4, 2)

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)

What type of transformation changed Shape A to Shape B?

• slide
• flip
• turn
• jump

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

• 60°
• 90°
• 180°
• 270°

A slide is also called a _________.

• Translation
• Reflection
• Rotation
• Transformation

A turn is also called a ___________.

• Translation
• Reflection
• Rotation
• Transformation

Write a rule for the translation.

•  (x -1, y  + 2)
•  (x -2, y  + 1)
•  (x +2, y  - 1)
• (x +1, y  -  2)

Point (-5,2) is reflected over the y axis.  Where is the new point located?

• (5,2)
• (-5,-2)
• (-5,2)
• (5,-2)