Question

Nancy walks 5 blocks to the right, 3 blocks down, 7 blocks to the left, and 1 block up. Each square's side length is 1 block. What are the coordinates of her new position?
Starting coordinates are (2, -3)

A. (1, 5)
B. (0, -5)
C. (-3, 0)
D. (-6, -3)
E. (-4,-4)

Answer 1

Answer:

The coordinates of her new position are (0 , -5) ⇒ answer B

Step-by-step explanation:

* Lets revise some translation

- If the point (x , y) translated horizontally to the right by h units

 then the new point = (x + h , y)

- If the point (x , y) translated horizontally to the left by h units

 then the new point = (x - h , y)

- If the point (x , y) translated vertically up by k units

 then the new point = (x , y + k)

- If the point (x , y) translated vertically down by k units

 then the new point = (x , y - k)

* Now lets solve the problem

∵ Nancy start from position (2 , -3)

- She walks 5 blocks to the right and 3 blocks down

∴ Add x-coordinate by 5 and subtract y-coordinate by 3

∵ The starting position is (2 , -3)

∴ The new position is (2 + 5 , -3 - 3) = (7 , -6)

- She walks 7 blocks to the left and 1 block up

∴ Subtract x-coordinate by 7 and add the y-coordinate by 1

∴ The new position is (7 - 7 , -6 + 1) = (0 , -5)

* The coordinates of her new position are (0 , -5)