Question

(2.01)A polygon is shown on the graph:

If the polygon is translated 3 units down and 4 units left, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates.

Answer 1

see picture for the coordinates

A’ = -2,-4

B’ = -3,-7

C’ = -1,-8

D’ = 1,-6

Explanation:

add the translation coordinates to the original to get new coordinates

Answer 2

Given translation:

• 4 units left
• 3 units down

Therefore,

• To translate a point 4 units left, subtract 4 units from the x-value.
• To translate a point 3 units down, subtract 3 units from the y-value.

⇒ (x, y) → (x - 4, y - 3)

Calculations

A (2, -1) ⇒ (2 - 4, -1 - 3) = A' (-2, -4)

B (1, -4) ⇒ (1 - 4, -4 - 3) = B' (-3, -7)

C (3, -5) ⇒ (3 - 4, -5 - 3) = C' (-1, -8)

D (5, -3) ⇒ (5 - 4, -3 - 3) = D' (1, -6)

Therefore, the new coordinates using prime notation are:

• A' (-2, -4)
• B' (-3, -7)
• C' (-1, -8)
• D' (1, -6)