Rectangle fghj shown below, is translated 6 unit up to produce rectangle f’g’h’j

Rectangle F'G'H'J' will have sides, F'G' = J'H' = 3 units, and, F'J'=G'H'=6 units.

Given to us,

Rectangle FGHJ, with sides, FG = JH = 3 units, and, FJ=GH=6 units.

Now, as given to us, Rectangle FGHJ has translated 6 units up to produce rectangle F’G’H’J', but even if the rectangle is translated it will still be a rectangle making no changes in its sides.

Therefore, Rectangle F'G'H'J' will have sides, F'G' = J'H' = 3 units, and, F'J'=G'H'=6 units.

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The correct option is (a).

Step-by-step explanation:

See the diagram attached.

Whatever be the translation done on a figure the dimensions of the figure will remain unchanged and only the coordinates of the vertices will change according to the rule of translation.

Therefore, if a rectangle FGHJ is translated by 6 units right and one unit up to produce a rectangle F'G'H'J', then the length F'G' = FG = 3 units and G'H' = GH = 5 units.  

So, the correct option is (a). (Answer)