Table of Contents
What happens when you multiply by a scale factor greater than 1?
Whenever you multiply a positive number by a factor greater than 1, the product will be larger than the original number. Both of Ellen’s choices illustrate this principle. Whenever you multiply a positive number by a positive factor less than 1, the product will be smaller than the original number.
What happens when a figure is scaled by a scale factor greater than one?
When a figure is scaled by a scale factor greater than 1, the copy is larger than the original. When the scale factor is less than 1, the copy is smaller.
What has a scale factor larger than 1?
If the scale factor is greater than 1, the image is an enlargement (a stretch). If the scale factor is between 0 and 1, the image is a reduction (a shrink). If the scale factor is 1, the figure and the image are congruent.
How does scale factor affect volume?
If the scale factor is three, then the perimeter of the new object will be three times the original perimeter. The area of a scaled object will be equal to the scale factor squared. So, if the scale factor is three, the volume of the new object will be three cubed, or 27 times, the volume of the original object.
What does a scale factor of 1/2 mean?
One has a side length of 2 inches and another has a side length of 4 inches. This gives a scale factor of 1 : 2 from the small square to the large square. Remember, this means that 1 inch on the smaller square is 2 inches on the larger square. If we multiply by the scale factor, 1/2, we will get a smaller number.
What scale factor will shrink a figure?
between 0 and 1
Scale Factor The number used to multiply the lengths of a figure to stretch or shrink it to a similar image. A scale factor larger than 1 will enlarge a figure. A scale factor between 0 and 1 will shrink a figure.
What is the scale factor of a drawing if the scale is 1 inch 6 feet?
1 to 72
The scale “1 inch to 6 feet” is equivalent to the scale “1 to 72,” because there are 72 inches in 6 feet. The scale “1 to 100” would make a scale drawing that is smaller than the scale “1 to 72,” because each inch on the new drawing would represent more actual length.
What is a scale factor of 2?
For example, a scale factor of 2 means that the new shape is twice the size of the original. A scale factor of 3 means that the new shape is three times the size of the original.
What is the formula for scale factor?
The basic formula to find the scale factor of a figure is: Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape. This can also be used to calculate the dimensions of the new figure or the original figure by simply substituting the values in the same formula.