๐ Topic Summary
Scale figures are figures that are similar but different in size. This means they have the same shape but different dimensions. When dealing with scale figures, we often need to find missing dimensions using proportions. A proportion is an equation stating that two ratios are equal. By setting up a proportion with known dimensions, we can solve for the unknown dimension.
To solve for missing dimensions, cross-multiplication is your best friend! This involves multiplying the numerator of one ratio by the denominator of the other ratio and setting them equal. Once you've got your equation, a little algebra magic (division!) will reveal the missing dimension. Ready to put your skills to the test?
๐ค Part A: Vocabulary
Match the following terms with their definitions:
| Term |
Definition |
| 1. Scale Factor |
A. A comparison of two quantities using division. |
| 2. Proportion |
B. Figures that have the same shape but different sizes. |
| 3. Ratio |
C. The ratio of corresponding linear measurements of two similar figures. |
| 4. Similar Figures |
D. A statement that two ratios are equal. |
| 5. Cross-Multiplication |
E. Multiplying the numerator of one fraction by the denominator of another and setting them equal. |
โ๏ธ Part B: Fill in the Blanks
Complete the following paragraph using the words: scale factor, proportions, similar, dimensions, ratio.
When two figures are ________, their corresponding sides are in proportion. We can use ________ to find missing ________. The ________ is the constant value that shows how much larger or smaller the image is compared to the original. A ________ is a comparison of two quantities.
๐ค Part C: Critical Thinking
Explain, in your own words, how you can use scale figures and proportions to determine the height of a tall building without physically measuring it.