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 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.)
scale factor!
Stretching and shrinking math book answers refer to changing the size of a figure while maintaining its shape. When stretching, all dimensions of the figure are multiplied by a constant factor, while when shrinking, they are divided by a constant factor. It's like playing with Silly Putty, but with numbers.
A triangle is a plane figure so it has two dimensions: length and breadth.
If it is a 2-dimensional figure then it is proportional.
No but if it is enlarged its dimensions are changed
The absolute value of the perimeter doesn't change, only the unit value which increases by a factor of 3.
Each linear dimension is altered by a multiple which is the scale factor.
No only a change of place is made
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)
A dilation with a scale factor of 0.5 reduces the size of the figure to half its original dimensions, resulting in a smaller figure. In contrast, a dilation with a scale factor of 2 enlarges the figure to twice its original dimensions, creating a larger figure. Therefore, the two dilations produce figures that are similar in shape but differ significantly in size, with the scale factor of 2 yielding a figure that is four times the area of the figure dilated by 0.5.
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.)
scale factor!
If the new linear dimensions are k times the old dimensions, then the new area is k2 times the old area.
If you change the scale factor of a geometric figure by a factor "x", that is, keeping the new figure similar to the old one, the perimeter (which is also a linear measurement) will change by the SAME factor "x".Note that any area will change by a factor of x squared.
If you triple the length and width (or base and height) of a figure, you will be multiplying the factor of three by itself, so the area increases by 3 squared, or 9. So a figure with an area of 12 will have an area of 108 when you triple its dimensions. This holds true for circles as well, since radius squared is used for area, the 3 squared factor still applies. (: