Scale Factor Worksheet
Explore scale factor concepts, calculate dimensions, and understand real-world applications of scaling objects.
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Scale Factor Challenge
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Read each question carefully and show all your work. Use the provided diagrams and spaces to answer.
1. If a square has sides of length 5 cm and is scaled by a factor of 2, what is the area of the new square?
25 cm²
50 cm²
100 cm²
20 cm²
2. A model car is built with a scale factor of 1:18. If the real car is 3.6 meters long, how long is the model car in centimeters?
2 cm
20 cm
200 cm
2000 cm
3. The ratio of corresponding linear measurements of two similar figures is called the .
4. If the scale factor between two similar triangles is 3:1, the ratio of their areas is .
5. A rectangle has a length of 10 inches and a width of 4 inches. If it is enlarged by a scale factor of 1.5, what are the new dimensions of the rectangle? Draw both the original and scaled rectangles.
6. A map has a scale of 1 cm : 50 km. If two cities are 7.5 cm apart on the map, what is the actual distance between the cities?
7. If the scale factor is less than 1, the new figure will be an enlargement.
True
False
8. Similar figures always have the same size but different shapes.
True
False
9. A photograph is 6 inches wide and 8 inches long. It is enlarged to become a poster that is 24 inches wide. What is the length of the poster? What is the scale factor of the enlargement?