📚 Topic Summary
Similar triangles are triangles that have the same shape but can be different sizes. This means their corresponding angles are equal, and their corresponding sides are in proportion. We can use these properties to find unknown lengths or heights in real-world scenarios by setting up and solving proportions. For example, we can calculate the height of a building by measuring its shadow and comparing it to the shadow of an object with a known height.
This activity is all about putting that into practice! Get ready to solve some fun measurement problems using the principles of similar triangles.
🔤 Part A: Vocabulary
Match each term with its correct definition:
| Term |
Definition |
| 1. Similar Triangles |
A. The ratio of corresponding sides of similar figures |
| 2. Corresponding Angles |
B. Angles that occupy the same relative position in similar figures |
| 3. Corresponding Sides |
C. Sides that are in the same relative position in similar figures |
| 4. Proportion |
D. Triangles with the same shape but possibly different sizes |
| 5. Scale Factor |
E. An equation stating that two ratios are equal |
Definitions mixed up (answers at the end).
✍️ Part B: Fill in the Blanks
Complete the following paragraph using the words provided below:
When two triangles are ________, their corresponding angles are ________ and their corresponding sides are in ________. This allows us to set up ________ and solve for unknown lengths. The ________ is the ratio between corresponding sides.
Words: similar, equal, proportion, proportions, scale factor
🤔 Part C: Critical Thinking
Explain a real-world scenario where using similar triangles could help solve a measurement problem. Be specific about what you would measure and how you would use the information to find the unknown measurement.