Question

1. Under the translation (x + y) → (x + 4, y -7), what will the point (2, 5) become?

2. A is (-4, -3) and B is a translation of A by
3 units to the right and 5 units downward. What is B?

3. A square’s coordinates are (-4, 3), (-4, 8), (-9, 3), (-9, 8). What are the coordinate pairs under a translation of (x + 1, y - 1)?

Answer 1

1) here x = 2 and y = 5 therefore point (2, 5) will

become => (2 + 4, 5 - 7)

=> (6, -2) Answer

2) A (-4, -3) point B is translation of A by 3 units to the right and 5 units downward

=> B = (-4 +3 , -3 - 5)

=> B = (-1, -8) Answer

3) (- 4 + 1, 3 - 1) => (-1, 2)

(-4 + 1, 8 - 1) => (-3, 7)

(-9 + 1, 3 - 1) => (- 8, 2)

(- 9 + 1, 8 - 1) => (- 8, 7)

therefore co-ordinates of square under translation

of (x + 1, y - 1) for all the four points are =>

=> (- 1, 2) , (-3 , 7), (-8, 2) and (- 8, 7) Answer