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Questions and Answers
What defines a scale drawing?
What defines a scale drawing?
- It must use whole numbers for measurements.
- It accurately represents the true size of an object.
- It is a diagram that is proportional to an actual size. (correct)
- It can only represent large objects.
If the scale factor is 1/18, which of the following represents the relationship between the drawing and the actual measurement?
If the scale factor is 1/18, which of the following represents the relationship between the drawing and the actual measurement?
- For every 1 unit in reality, there are 18 units in the drawing.
- For every 18 units in reality, there is 1 unit in the drawing.
- For every 18 units in the drawing, there is 1 unit in reality.
- For every 1 unit in the drawing, there are 18 units in reality. (correct)
In the example where 1 cm = 4.5 km and the measurement is 4.1 cm, what is the actual distance represented?
In the example where 1 cm = 4.5 km and the measurement is 4.1 cm, what is the actual distance represented?
- 15.20 km
- 18.45 km (correct)
- 16.45 km
- 20.60 km
What is the first step in finding a scale factor?
What is the first step in finding a scale factor?
Given the relationship 0.25 in = 18 mi, what is the actual distance for a measurement of 6 in?
Given the relationship 0.25 in = 18 mi, what is the actual distance for a measurement of 6 in?
Flashcards
Scale Drawing
Scale Drawing
A diagram that represents an object with dimensions proportional to the actual object but scaled down or up.
Scale Factor
Scale Factor
A constant ratio between the corresponding side lengths of a scale drawing and the actual object.
Scale Ratio
Scale Ratio
It is a ratio of two measurements, one from the scale drawing and one from the real object.
Measure Units Conversion
Measure Units Conversion
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Calculating Actual Measurement
Calculating Actual Measurement
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Study Notes
Scale Drawings and Proportional Relationships
- Scale drawings are diagrams, maps, or models of objects too large or small to draw accurately
- Dimensions in the scale drawing are proportional to the actual dimensions
- Scale factor is a constant that multiplies the length of each side of a figure to produce an image that has the same shape as the original figure
Scale Factor Examples
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Example 1: A map shows 1 cm = 4.5 km. If the distance on the map is 4.1 cm, what is the actual distance in km?
- 1 cm = 4.5 km
- 4.1 cm = n km
- n = 18.45 km
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Example 2: A map shows 0.25 inches = 18 miles. If the distance on the map is 6 inches, what is the actual distance in miles?
- 0.25 in = 18 mi
- 6 in = n mi
- n = 432 mi
Scale Factor Steps
- Write the scale as a ratio
- Change to the same unit of measurement (unit to smaller unit)
- Simplify
Example of Scale Factor Calculation
- 2 inches = 3 feet, What is the scale factor?
- 2 in = 3 ft
- 2 in = 36 in (since 12 inches = 1 foot)
- scale factor = 2 in / 36 in = 1/18
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