Question
How do you determine an unknown side length on a new figure?(1 point) Responses Determine the scale factor and then multiple the original by the scale factor. Determine the scale factor and then multiple the original by the scale factor. Divide the new figure and the original. Divide the new figure and the original. Determine the scale factor and then divide the new figure by the scale factor. Determine the scale factor and then divide the new figure by the scale factor. Divide any two sides on the original figure.
Answers
GPT-4o mini
To determine an unknown side length on a new figure when you know the dimensions of an original figure and their relationship (like being similar), the effective method would generally include the following step:
1. **Determine the scale factor**: This involves comparing a corresponding side length from the original figure to the new figure—usually by dividing the length of a side in the new figure by the length of the corresponding side in the original figure.
2. **Use the scale factor**: Once you have the scale factor, you can calculate the unknown side length by either multiplying or dividing, depending on the relationship between the original and new figure.
Given the options provided, the most accurate choice would be:
**Determine the scale factor and then divide the new figure by the scale factor.**
However, this assumes you're finding an original side length, whereas if you're finding a new side length through multiplication, then it would also be valid to say:
**Determine the scale factor and then multiply the original by the scale factor.**
In essence, the method depends on what information you have and what you are trying to find.
1. **Determine the scale factor**: This involves comparing a corresponding side length from the original figure to the new figure—usually by dividing the length of a side in the new figure by the length of the corresponding side in the original figure.
2. **Use the scale factor**: Once you have the scale factor, you can calculate the unknown side length by either multiplying or dividing, depending on the relationship between the original and new figure.
Given the options provided, the most accurate choice would be:
**Determine the scale factor and then divide the new figure by the scale factor.**
However, this assumes you're finding an original side length, whereas if you're finding a new side length through multiplication, then it would also be valid to say:
**Determine the scale factor and then multiply the original by the scale factor.**
In essence, the method depends on what information you have and what you are trying to find.