Question

If a line segment with endpoints (6, 3)
and (6, 7)
is translated 3 units up and 4 units to the right, how long is the line segment after the translation?

Answer 1

Translations preserve distances. The endpoints move to (10,6) and (10,10). The length is √[(10−10)^2 + (10−6)^2] = √16 = 4.