Question

A line segment is 20 units long. If the line segment is translated up 6 units and left 8 units, which statement is true? The length of the resulting line segment is 4 units because translations decrease length. The length of the resulting line segment is 20 units because translations preserve length. The length of the resulting line segment is 34 units because translations increase length. The length of the resulting line segment cannot be determined.

Answer 1

"The length of the resulting line segment is 20 units because translations preserve length"

Explanation:

A translation, in maths, is the movements of a geometric shape/line in certain direction. There is no rotation, re-sizing, or alteration. It simply "moves" the line/shape in a direction. The length is not altered in any way. Translation preserves length, every point just changes place.

When we translate a figure/line, we are simply moving it elsewhere, keeping all else constant.

In this problem, the line segment at hand is 20 units and it is translated 6 units up and 8 units left. So the location of the line changes, but the length is preserved. So, 2nd answer choice is right:

"The length of the resulting line segment is 20 units because translations preserve length"