Similar Shapes Scale Drawings

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Date:

📐 Part 1: Understanding Scale Factors

1. A blueprint uses a scale of 1 inch = 4 feet. If a room is 12 feet long in real life, how long will it be on the blueprint?

3 inches

4 inches

16 inches

48 inches

2. Two similar triangles have corresponding sides in the ratio 2:5. If the smaller triangle has a side of 6 inches, what is the length of the corresponding side in the larger triangle?

Answer: _________ inches

3. Which of the following are properties of similar shapes? Check all that apply:

Corresponding angles are equal

Corresponding sides are proportional

All sides must be the same length

Same shape but different size

4. A model car is built using a scale of 1:24. If the real car is 144 inches long, how long is the model car?

6 inches

12 inches

24 inches

120 inches

📏 Part 2: Real-World Applications

5. A playground designer creates a scale drawing where 1 inch = 8 feet. On the drawing, a swing set is 2.5 inches wide and 1.75 inches deep. What are the actual dimensions of the swing set?

Width: _________ feet Depth: _________ feet

6. Two similar rectangles have areas in the ratio 9:25. If the scale factor from the smaller to the larger rectangle is 3:5, find the missing side length. The smaller rectangle has dimensions 6 cm by 9 cm. What is the length of the longer side of the larger rectangle?

Answer: _________ cm

7. Explain in your own words why architects and engineers use scale drawings. Give at least two reasons.

🎨 Part 3: Create Your Own Scale Drawing

8. Choose a simple object in your classroom (like your desk, a book, or a whiteboard). Measure its length and width in inches, then create a scale drawing using the scale 1 inch = 2 feet. Show your calculations and draw the scaled version below.

Object chosen: _________________________

Actual dimensions: Length: _____ inches, Width: _____ inches

Scale drawing dimensions: Length: _____ inches, Width: _____ inches

9. If you wanted to make a scale model of your school's basketball court (94 feet by 50 feet) that would fit on a standard piece of paper (11 inches by 8.5 inches), what scale would you need to use? Explain your reasoning.