Question

11. Point A is located at (-4,4) on a coordinate plane. PointA is translated 6 units to the right and 5 units down.What measurement is closest to the distancebetween point A and A' in units?A. 8B. 11C. 13D. 3

Answer 1

A. 8

Step-by-step explanation:

Point A is located at (-4,4).

If A is translated 6 units to the right and 5 units down, its image A' will be:

`A(-4,4)\to(-4+6,4-5)=A^(\prime)(2,-1)`

Next, find the distance between points A and A':

`\begin{gathered} Distance=√((x_2-x_1)^2+(y_2-y_1)^2) \\ =\sqrt[]{(2-(-4))^2+(-1-4)^2} \\ =\sqrt[]{(2+4)^2+(-5)^2} \\ =\sqrt[]{(6)^2+(-5)^2} \\ =\sqrt[]{36+25} \\ =\sqrt[]{61} \\ =7.81 \\ \approx8\text{ units} \end{gathered}`

The distance between points A and A' is approximately 8 units.

The correct choice is A.