ΔZAP has coordinates Z (−1, 5), A (1, 3), and P (−2, 4). A translation maps point Z to Z' (1, 1). Find the coordinates of A' and P' under this translation.

A' (−4, 0); P' (−1, −1)
A' (3, −1); P' (0, 0)
A' (−1, −1); P' (−4, 0)
A' (0, 0); P' (3, −1)

Question

ΔZAP has coordinates Z (−1, 5), A (1, 3), and P (−2, 4). A translation maps point Z to Z' (1, 1). Find the coordinates of A' and P' under this translation.

A' (−4, 0); P' (−1, −1)
 A' (3, −1); P' (0, 0)
 A' (−1, −1); P' (−4, 0)
 A' (0, 0); P' (3, −1)

Bearclaws72 · Answer

@Vocaloid

563blackghost · Answer

We need to find the rule of the translation.

$\bf{Z~(-1,5) \rightarrow Z'~(1,1)}$

If we look at this we see that we need to go to the right by `2` units to get `1` so it is `+2`. We need to go down by `4` units to get to `1` which is `-4`.

Our rule is $\large\bf{(x,y) \rightarrow (x+2,y-4)}$

Use this rule for the other points.