Suppose you copy a drawing of a polygon with the given size factor.

How will the side lengths, angle mesures , and perimeter of the image compare to those of the original?

a. 200% b.150% c.50% d.75%

let me do one: 50%

side length, half size
angles, same size
perimeter, half size.

Angles do not change.

The image will be :

a. 2 times the original,
b. 1.5 times,
c. 1/2
d. 3/4

a bag holds six blocks numbered 1 to 6 imagine drawing one block from the bag

To determine how the side lengths, angle measures, and perimeter of the image compare to those of the original polygon, we can use the concept of similarity. Similar figures have corresponding angles that are congruent and corresponding side lengths that are proportional.

To answer this question, we need to understand what the given size factor means. In this case, the size factor represents how much the image is scaled (either enlarged or reduced) compared to the original polygon.

Let's analyze each given size factor separately:

a. 200% (or 2): If the polygon is copied with a size factor of 2, it means the image will be twice as large as the original polygon. Thus, all side lengths, angle measures, and the perimeter of the image will be two times the corresponding values of the original polygon. For example, if a side length in the original polygon is 10 units, in the image it will be 2 * 10 = 20 units.

b. 150% (or 1.5): If the polygon is copied with a size factor of 1.5, it means the image will be 1.5 times larger than the original polygon. This implies that all side lengths, angle measures, and the perimeter of the image will be 1.5 times the corresponding values of the original polygon.

c. 50% (or 0.5): If the polygon is copied with a size factor of 0.5, it means the image will be half the size of the original polygon. Therefore, all side lengths, angle measures, and the perimeter of the image will be half the corresponding values of the original polygon.

d. 75% (or 0.75): If the polygon is copied with a size factor of 0.75, it means the image will be 75% the size of the original polygon. Thus, all side lengths, angle measures, and the perimeter of the image will be 75% of the corresponding values of the original polygon.

So, to summarize:

a. 200% -> Side lengths, angle measures, and perimeter will be multiplied by 2.
b. 150% -> Side lengths, angle measures, and perimeter will be multiplied by 1.5.
c. 50% -> Side lengths, angle measures, and perimeter will be multiplied by 0.5.
d. 75% -> Side lengths, angle measures, and perimeter will be multiplied by 0.75.

Therefore, the correct answer is: a. 200%.

75Z% lil lames