Question
Transformations and Similarity Online Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
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Question
Use the image to answer the question.
An illustration shows a 2-dimensional, arial view of a basketball court.
A basketball court is 94 feet long. If the image is a scale drawing of a basketball court, which scale factor might the drawing use?
(1 point)
Responses
1:400
ratio of 1 to 400
500:1
ratio of 500 to 1
1:4
ratio of 1 to 4
50:1
Answers
GPT-4o mini
To determine the appropriate scale factor for the drawing of a basketball court that measures 94 feet long, we have to evaluate the options given.
1. **1:400 (ratio of 1 to 400)** - This scale indicates that 1 unit in the drawing represents 400 units in reality. This would make the drawing minuscule for a basketball court.
2. **500:1 (ratio of 500 to 1)** - This scale also suggests an extremely small representation of the basketball court and would not be practical.
3. **1:4 (ratio of 1 to 4)** - This means that 1 unit in the drawing represents 4 units in reality. If we apply this to the basketball court, the drawn length would be 94 feet / 4 = 23.5 feet, which is reasonable for an illustration.
4. **50:1** - This means that 1 unit in the drawing represents 50 units in reality. This would yield a drawn length of 94 feet / 50 = 1.88 feet, which is too small for a basketball court representation.
Thus, the most realistic scale factor for a scale drawing of a basketball court is likely **1:4 (ratio of 1 to 4)**.
1. **1:400 (ratio of 1 to 400)** - This scale indicates that 1 unit in the drawing represents 400 units in reality. This would make the drawing minuscule for a basketball court.
2. **500:1 (ratio of 500 to 1)** - This scale also suggests an extremely small representation of the basketball court and would not be practical.
3. **1:4 (ratio of 1 to 4)** - This means that 1 unit in the drawing represents 4 units in reality. If we apply this to the basketball court, the drawn length would be 94 feet / 4 = 23.5 feet, which is reasonable for an illustration.
4. **50:1** - This means that 1 unit in the drawing represents 50 units in reality. This would yield a drawn length of 94 feet / 50 = 1.88 feet, which is too small for a basketball court representation.
Thus, the most realistic scale factor for a scale drawing of a basketball court is likely **1:4 (ratio of 1 to 4)**.