A scale factor is the ratio between corresponding measurements of an object and a representation of the object (like a model or drawing). If you have a scale factor greater than 1, the representation is an enlargement. If the scale factor is less than 1 (but greater than 0), the representation is a reduction. Understanding scale factors helps us create accurate models and maps!
Match the term with the correct definition:
| Term | Definition |
|---|---|
| 1. Scale Factor | A. A transformation that enlarges or reduces a figure proportionally. |
| 2. Dilation | B. Having the same shape, but different sizes. |
| 3. Similar Figures | C. A comparison of two quantities using division. |
| 4. Ratio | D. The original figure before a transformation. |
| 5. Pre-image | E. The ratio used to enlarge or reduce similar figures. |
(Answers: 1-E, 2-A, 3-B, 4-C, 5-D)
Complete the following paragraph using the words: enlargement, reduction, scale factor, similar, corresponding.
When two figures are ________, they have the same shape but different sizes. The ________ is the ratio that determines how much larger or smaller the new figure is compared to the original. If the scale factor is greater than 1, it results in an ________. If the scale factor is less than 1 (but greater than 0), it results in a ________. We only compare ________ sides when determining scale factor.
(Answers: similar, scale factor, enlargement, reduction, corresponding)
Imagine you are drawing a map of your classroom. Explain how you would use a scale factor to make sure your map is accurate. What challenges might you face, and how would you overcome them?
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