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.

Answer 1

Explanation:

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Answer 2

To solve this problem, we should first identify the number of units that point Z was translated. The number of units of movement of point Z should be similar to the number of units of movement of points A and P.

Let us say that the movement is Δx and Δy for horizontal and vertical translations respectively.

From Z to Z’:

Δx = 1 – (-1) = 2

Δy = 1 - 5 = - 4

Therefore the translation is in the form of (x + 2 , y – 4). Points A and P then becomes:

A’ = (1 + 2 , 3 – 4)

A’ = (3, -1)

P’ = (-2 + 2, 4 – 4)

P’ = (0, 0)

Answers:

A’ = (3, -1)

P’ = (0, 0)