Reflection, Translation and Rotation

What quadrant is the image now in?

• I

• II

• III

• IV

Describe the Transformation

• Reflection

• Translation

• Rotation

Translations are always _______

• Congruent

• Bigger

• Smaller

• Rotated

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)

Square ABCD is translated by the rule (x – 3, y + 1). What are the coordinates of D′?

• (–2, 4)

• (4, 2)

• (0, 0)

• (–3, 4)

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)

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

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?

• reflection across the y-axis

• dilation with a scale factor of 4

• translation of 6 units up

• translation of 6 units to the right

Triangle XYZ is translated so that X′ is at (4, –2). Which rule defines this translation?

• (x + 2, y – 6)

• (x – 6, y + 2)

• (2x, y – 6)

• (x – 2, y + 6)