Q: Does a figure change its dimensions when translated?

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If it is a 2-dimensional figure then it is proportional.

Impossible to figure out. You did not mention any dimensions of the figure. You mush have the dimensions.

plane figure

The absolute value of the perimeter doesn't change, only the unit value which increases by a factor of 3.

A figure having zero dimensions is a point.

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No only a change of place is made

The answer depends entirely on how the dimensions change. It is possible to change the dimensions without changing the perimeter. It is also possible to change the dimensions without changing the area. (And it is possible to change the area without changing the perimeter.)

If the new linear dimensions are k times the old dimensions, then the new area is k2 times the old area.

If it is a 2-dimensional figure then it is proportional.

Impossible to figure out. You did not mention any dimensions of the figure. You mush have the dimensions.

Impossible to figure out. You did not mention any dimensions of the figure. You mush have the dimensions.

plane figure

if all 3 dimensions increase b factor of 7 then volume changes by 7 cubed or a factor of 343

Depends what you mean by the "size" of the figure.To double the linear dimensions of the figure ===> Multiply the linear dimensions by 2.To double the area of the figure ===> Multiply the linear dimensions by sqrt(2). (1.4142)

The absolute value of the perimeter doesn't change, only the unit value which increases by a factor of 3.

A figure having zero dimensions is a point.

A plane figure has two dimensions !