Question

P'Q'R'S' is a translation of PQRS. a) What are the coordinates of Q'? b) What are the coordinates of S'?

Answer 1

Q'(-1, 4)

S'(-3,2)

Explanation:

Translation:

• The top number in the column vector represents the movement of the shape in horizontal direction. If the number is positive, it moves to right and if the number is negative, it moves to left.
• The below number in the column vector represents the movement of the shape in vertical direction. If the number is positive, it moves to up and if the number is negative, it moves to down.

`\left \{ {{-5} \atop {3}} \right.` means translate the parallelogram 5 squares to the left and 3 squares up.

If a co-ordinate of point is denoted by (x,y), after translation, the point is denoted by (x-5 , y + 3)

Q(4 , 1).

We can obtain Q' by Q'(4 - 5 , 1 + 3) = Q'(-1, 4)

S(2, -1)

We can obtain S' by S'(2-5, -1+3) = S'(-3,2)