If two polygons are similar,how can you find the scale factor from one polygon to the other?Show specific examples.Describe how you find the scale factor from the smaller figure to the enlarged figure.Then,describe how you find the scale factor from the larger figure to the smaller figure.
Divide the larger by the smaller.
Larger area by smaller area that is.
i don't know! that is why i am on this site...duh!
Im doing scale factor enlargement and i need to know how to enlage it by 3quaters thanksxx
To find the scale factor from one polygon to the other, you can compare their corresponding side lengths or their corresponding areas. Let's go through an example to demonstrate how to find the scale factor from the smaller figure to the enlarged figure.
Example: Let's say we have a smaller polygon with side lengths of 5 cm, and we want to enlarge it by a scale factor of 3/4.
To find the enlarged figure's side lengths, we can multiply each side length of the smaller figure by the scale factor.
Enlarged side length = 5 cm * (3/4) = 3.75 cm
Therefore, the scale factor from the smaller figure to the enlarged figure is 3/4, or 0.75. This means that each side of the smaller figure is multiplied by 0.75 to obtain the corresponding side in the enlarged figure.
Now let's discuss how to find the scale factor from the larger figure to the smaller figure.
Example: Let's assume we have a larger polygon with side lengths of 9 cm. We want to find the scale factor from the larger figure to the smaller figure.
To find the scale factor from the larger figure to the smaller figure, you can divide the corresponding side lengths of the larger and smaller polygons.
Scale factor = Larger figure's side length / Smaller figure's side length
In this case, the scale factor would be 9 cm / 5 cm = 1.8. This means that each side of the larger figure is multiplied by 1.8 to obtain the corresponding side in the smaller figure.
Remember, the scale factor can be found by either dividing the larger figure's side length by the smaller figure's side length or by multiplying the smaller figure's side length by the scale factor to get the corresponding side length in the enlarged figure.
If you have any further questions, feel free to ask!
To find the scale factor from one polygon to another, you can compare their corresponding lengths or areas. Let's go step-by-step on how to find the scale factor from the smaller figure to the larger figure and vice versa.
1. Finding the scale factor from the smaller figure to the larger figure:
- First, identify corresponding sides of the two polygons. These are sides that are in the same relative position to each other.
- Next, measure the lengths of these corresponding sides on both polygons.
- Divide the length of the corresponding side on the larger figure by the length of the corresponding side on the smaller figure. This ratio will give you the scale factor.
For example, let's say you have a small square with side length 2 units and a larger square with side length 6 units. The corresponding sides are the sides of the squares. To find the scale factor from the smaller square to the larger square, you divide the length of the larger square's side (6) by the length of the smaller square's side (2). Therefore, the scale factor is 6/2 = 3.
2. Finding the scale factor from the larger figure to the smaller figure:
- Instead of dividing the length of the larger figure by the length of the smaller figure, you can also divide the area of the larger figure by the area of the smaller figure to find the scale factor.
For example, if you have a smaller rectangle with an area of 20 square units and a larger rectangle with an area of 60 square units, you divide the larger rectangle's area (60) by the smaller rectangle's area (20). Therefore, the scale factor from the larger rectangle to the smaller rectangle is 60/20 = 3.
3. Enlarging a figure by a scale factor of 3/4:
- To enlarge a figure by a certain scale factor, you need to multiply the lengths of all corresponding sides by that scale factor.
- Here, the scale factor is 3/4, which means you need to multiply all the lengths of the smaller figure by 3/4 to get the enlarged figure.
For example, let's say you have a small square with side length 4 units, and you want to enlarge it by a scale factor of 3/4. You would multiply the side length by 3/4, resulting in a larger square with a side length of (4 * 3/4) = 3 units.
Remember, to find the scale factor from one polygon to another, you need to compare corresponding sides or areas. Once you have the scale factor, you can either enlarge or reduce a figure by multiplying or dividing the lengths of its sides by that scale factor.