Question

Kelsey's neighborhood has a straight road with stop signs at both ends and a fire hydrant at its midpoint. On a map, the fire hydrant is located at (12,7) and one of the stop signs is located at (3,11). Where on the map is the other stop sign located?

Answer 1

Answer:

(21, 3)

Step-by-step explanation:

Stop 1 = (3,11)

Hydrant = (12,7)

Stop 2 = (x,y)

If the fire hydrant is at the midpoint on a straight line between both stop signs, the difference in the coordinates from stop 1 to the hydrant must equal the difference in coordinates from the hydrant to stop 2.

For the x coordinate:

$3-12=12-x\\x=12+12-3\\x=21$

For the y coordinate:

$11-7 = 7-y\\y=7+7-11\\y=3$

Therefore, the other stop sign is located at (21, 3)