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Question
Point P is located at (7, 4) on a coordinate grid. Point P is translated 4 units to the left and 8 units down to create point P’.

Which measurement is closest to the distance between point P and point P’ in units?
Responses
A 8.98.9
B 4040
C 16.216.2
D 2.65

Answer 1

To find the distance between point P and point P', we can use the distance formula:

Distance = √((x2 - x1)^2 + (y2 - y1)^2)

In this case, the coordinates for point P are (7, 4), and the coordinates for point P' after translation are (-3, -4).

Plugging these values into the distance formula, we get:

Distance = √((-3 - 7)^2 + (-4 - 4)^2)
= √((-10)^2 + (-8)^2)
= √(100 + 64)
= √164

Since none of the answer choices are √164, we can approximate the answer using a calculator:

√164 ≈ 12.806

The measurement closest to the distance between point P and point P' in units is 12.8.

Therefore, the correct answer is not provided in the answer choices.