Question

9. Point N (2, 1) is on segment RS. A translation moves point N to its image,

N' (-6, 16). What is the distance, in units, between any point on segment RS
and its image?

Answer 1

17

Explanation:

Use the distance formula

`d=√((x2-x1)^2+(y2-y1)^2)\\\\ d=√((-6-2)^2+(16-1)^2)`

Simplify the parentheses

`d=√((-8)^2+(15)^2)`

Simplify exponents

`d=√(64+225)`

Add

`d=√(289)`

Simplify

`d=17`

Done.