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Translations Practice

Practice Problem #1

Determine the number of units a figure would be translated left, right, up, or down.

(x, y) → (x − 4, y + 1)

  • The figure will be translated ___blank units ___blank (left or right).
  • The figure will be translated ___blank units ___blank (up or down).

Look at the numbers after the x and y parts of the notation. Left/Right as well as Up/Down will be determine by whether you have a plus or a minus.

Answer:

  • The figure will be translated 4 units left.
  • The figure will be translated 1 unit up.

Practice Problem #2

Determine the number of units a figure would be translated left, right, up, or down.

(x, y) → (x + 8, y + 4)

  • The figure will be translated ___blank units ___blank (left or right).
  • The figure will be translated ___blank units ___blank (up or down).

Look at the numbers after the x and y parts of the notation. Left/Right as well as Up/Down will be determine by whether you have a plus or a minus.

Answer:

  • The figure will be translated 8 units right.
  • The figure will be translated 4 units up.

Practice Problem #3

Determine the number of units a figure would be translated left, right, up, or down.

(x, y) → (x − 6, y)

  • The figure will be translated ___blank units ___blank (left or right).
  • The figure will be translated ___blank units ___blank (up or down).

Look at the numbers after the x and y parts of the notation. Left/Right as well as Up/Down will be determine by whether you have a plus or a minus.

Answer:

  • The figure will be translated 6 units left.
  • The figure will be translated 0 units up/down.

Practice Problem #4

Determine the new coordinates of each point.

(x, y) → (x + 4, y − 1)

coordinate plane with triangle ABC with point A (negative 3,3), point B (negative 3, 0), and point C (negative 1, 0) and triangle A'B'C' or triangle A prime B prime C prime with point A prime (1,2), point B prime (1, negative 1), and point C prime (3, negative 1)
See larger version of Practice Problem #6 image here.
  • A (−3, 3) → A'(___blank, ___blank)
  • B (−3, 0) → B'(___blank, ___blank)
  • C (−1, 0) → C'(___blank, ___blank)

Answers:

  • A (−3, 3) → A'(1, 2)
  • B (−3, 0) → B'(1, −1)
  • C (−1, 0) → C'(3, −1)

Practice Problem #5

Which of the following is the transformation shown?

two triangles in a coordinae plane, the first triangle has coordinates A(negative four, negative three) , B(negative seven, negative five), and C(negative one, negative five), the second triangle has coordinates A'(negative two,two), B'(negative four, zero), and C'(one, zero)

none of these

reflection across the x-axis

rotation by 90° clockwise

translation

Answer: translation