Suppose you copy a drawing of a polygon using the given size factor. How will the side lengths, angle measures, and perimeter of the image compare to those of the original?
A. 200%
B. 150%
C. 75%
please respond this is the dumbest hw i ever done
6 views please god someone help!
angles stay the same
sides grow by the scale factor
since perimeter is the sum of the sides, it also grows by the scale factor
area grows by the scale squared
volume grows by scale cubed.
To determine how the side lengths, angle measures, and perimeter of the copied polygon compare to those of the original, we need to understand the concept of scaling or resizing.
When a drawing is copied using a size factor, the side lengths of the image will be proportional to the side lengths of the original polygon. We can think of this as multiplying each side length of the original polygon by the given size factor. For example, if the size factor is 2, then the side lengths of the image will be twice as long as the side lengths of the original polygon. This means the side lengths would increase by 200%.
Similarly, the angle measures of the image will also remain the same as the original polygon. This is because the size factor only affects the lengths of the sides, not the angles.
To compare the perimeters, we need to add up the lengths of all the sides. Since each side of the copied polygon is proportional to the side length of the original polygon, the perimeter of the image will also be proportional. Therefore, the perimeter of the image will increase by the same factor as the side lengths, which in this case is 200%.
Based on the given options, the correct answer would be:
A. 200%