MATH SOLVE

5 months ago

Q:
# 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)

Accepted Solution

A:

Answer:The coordinates of her new position are (0 , -5) ⇒ answer BStep-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)