The task involves identifying whether each statement about scale drawings, ratios, and proportions is true or false. Let's analyze each statement carefully:
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Statement 1:
> A scale ratio is the comparison of two quantities with different units.
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Analysis: A scale ratio compares two quantities, but it does not necessarily involve different units. For example, a scale ratio might compare lengths in the same unit (e.g., 1 cm on a map represents 10 km in reality). The key aspect of a scale ratio is the proportional relationship between two quantities, not the units.
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Conclusion: False
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Statement 2:
> Scale drawing is only used to reduce an actual object while keeping it proportionally the same.
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Analysis: Scale drawings are not limited to reducing the size of objects. They can also be used to enlarge objects while maintaining the same proportions. For example, architects might use scale drawings to create larger models of buildings.
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Conclusion: False
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Statement 3:
> Scale drawing is used by architects and engineers in planning and building their projects.
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Analysis: This statement is accurate. Architects and engineers frequently use scale drawings to plan and visualize projects before construction. Scale drawings help them represent large structures in a manageable format.
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Conclusion: True
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Statement 4:
> The concept of ratio and proportion is used to solve for the actual dimension of an object.
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Analysis: Ratios and proportions are indeed used to determine actual dimensions from scaled representations. For example, if a scale drawing uses a ratio of 1:100, you can use this ratio to calculate the real-world dimensions of an object shown in the drawing.
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Conclusion: True
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Statement 5:
> 10:13 is an example of ratio.
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Analysis: A ratio is a comparison of two quantities, often expressed as "a:b" or "a to b." The expression "10:13" fits this definition perfectly.
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Conclusion: True
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Statement 6:
> The ratio of the length of two corresponding sides of two similar geometric figures is called scale factor.
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Analysis: The scale factor is indeed defined as the ratio of the lengths of corresponding sides of two similar geometric figures. This ratio indicates how much larger or smaller one figure is compared to the other.
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Conclusion: True
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Final Answers:
1. False
2. False
3. True
4. True
5. True
6. True
Boxed Answer:
\[
\boxed{\text{False, False, True, True, True, True}}
\]
Parent Tip: Review the logic above to help your child master the concept of 7th grade math scale factor worksheet.
