Question

How would a scale factor of 0.25 be used to determine the lengths of the original figure?

A) The scale factor is added to the scale figure’s lengths.
B)The scale factor is subtracted from the scale figure’s lengths.
C) The scale factor is multiplied by the scale figure’s lengths.
D) The scale factor is divided into the scale figure’s lengths.

Answer 1

The correct answer is C) The scale factor is multiplied by the scale figure's lengths.

When using a scale factor, you are typically working with a "scale figure," which is a smaller or larger version of the original figure. To determine the lengths of the original figure using a scale factor of 0.25, you would multiply each length of the scale figure by 0.25.

For example, if the scale figure has a length of 8 units, you would multiply 8 by 0.25 to get 2, which would be the corresponding length of the original figure. So if the original figure was four times larger than the scale figure, it would have a length of 32 units (4 times 8).

Therefore, when using a scale factor to determine the lengths of an original figure, you need to multiply each length of the scale figure by the scale factor to get the corresponding length of the original figure.

Step-by-step explanation:

Answer 2

To use a scale factor of 0.25 to determine the lengths of the original figure, you would multiply the lengths of the scale figure by 0.25. For example, if a scale model's length is 4 cm, the actual length would be 1 cm (4 cm x 0.25).

Step-by-step explanation:

To determine the lengths of the original figure using a scale factor of 0.25, you would multiply the lengths of the scale figure by the scale factor.

Therefore, the correct option is C) The scale factor is multiplied by the scale figure’s lengths.

Here is how you use the scale factor. Suppose the length of a scale model is 4 cm, and the scale factor is 0.25. To find the actual length, you would perform the following calculation:

• Actual length = Scale length × Scale factor
• Actual length = 4 cm × 0.25
• Actual length = 1 cm

In this case, the actual length is smaller because the scale factor is less than 1. If you were to find a scale length from an actual length with a scale factor, you would do the reverse by dividing the actual length by the scale factor.