Describing translations

The Maths Habit Handout to print

  1. Translate the point (2, 5) by 3−4.

    (5, 1)
  2. Write as a column vector: 6 left and 1 down.

    −6−1
  3. A line segment joins (−1, 0) and (1, 3). Translate it by −25. Where are its ends now?

    (−3, 5), (−1, 8)

On a chessboard, a knight moves 2 squares one way, then 1 square at right angles.
From a square near the middle, how many squares can it reach in one move?

8 squares.

A point moves from (1, 1) to (4, 3).
What is the vector?

32

Describe fully
Name the transformation and give its vector.

65

Describe the translation that maps A onto B.

Describe the translation that maps B onto A.

Translation by the vector 65

Translation by the vector 5−7

Translation by the vector 65

Translation by the vector −7−5

Translation by the vector 65

Translation by the vector 5−3

Translation by the vector 65

Translation by the vector −80

Translation by the vector 65

Translation by the vector −67

Describing translations worksheet, page 1

Describing translations worksheet, page 2

Answer sheet

  1. A maps onto B by the vector 4−7. What vector maps B back onto A?

    −47
  2. P is translated by 23 to Q. Q is translated by −61 to R. Describe fully the single transformation that maps P onto R.

    Translation, −44

  1. Write the vector from (2, 5) to (7, 1).

    5−4
  2. Describe fully the transformation from A to B.

    Translation by −43
    AB
  3. 6−5 maps A onto B. Write the vector that maps B onto A.

    −65
Exit tickets to print