Yes, the units in a scale factor must be the same for meaningful comparisons or calculations. A scale factor represents the ratio of corresponding dimensions between two similar figures or objects, so using different units would lead to incorrect results. For instance, if scaling a model, both the model and the original must use the same unit of measurement, such as all in centimeters or all in inches.
scale factor
A scale factor of 3 means that each dimension of an object is multiplied by 3, resulting in an increase in size. For example, if a shape has a length of 2 units, after applying a scale factor of 3, the new length would be 6 units. This transformation keeps the object's proportions the same while enlarging it. In terms of area, the scale factor of 3 would increase the area by a factor of (3^2 = 9).
To determine the scale factor between two similar figures, you can divide the length of a side of one figure by the corresponding side of the other figure. Ensure that both figures are in the same units before comparing. The scale factor can be expressed as a fraction, decimal, or ratio, and it indicates how much larger or smaller one figure is compared to the other. For example, if a side of the larger figure is 10 units and the corresponding side of the smaller figure is 5 units, the scale factor is 10/5, which simplifies to 2.
scale factor
scale factor
scale factor
A scale factor of 3 means that each dimension of an object is multiplied by 3, resulting in an increase in size. For example, if a shape has a length of 2 units, after applying a scale factor of 3, the new length would be 6 units. This transformation keeps the object's proportions the same while enlarging it. In terms of area, the scale factor of 3 would increase the area by a factor of (3^2 = 9).
Convert to same units, then can cancel out units: 1 ft = 12 in → 1 in : 4 ft = 1 in : 4 x 12 in = 1 in : 48 in = 1 : 48 So the scale factor is 48.
scale factor
scale factor
scale factor
scale factor
scale factor
scale factor
A scale factor needs two numbers, not just one., And they need to have measurement units - such as inches, millimetres, miles or whatever.
Convert to the same units, drop the units and simplify: 1 yd = 36 in → 7 in : 1 yd = 7 in : 36 yd = 7 : 36
The perimeter will scale by the same factor.