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Scale Drawings and Proportional Relationships

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Scale Drawings and Proportional Relationships

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Questions and Answers

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?

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?

15.20 km

18.45 km (correct)

16.45 km

20.60 km

What is the first step in finding a scale factor?

<p>Write the scale as a ratio. (C)</p> Signup and view all the answers

Given the relationship 0.25 in = 18 mi, what is the actual distance for a measurement of 6 in?

<p>432 mi (C)</p> Signup and view all the answers

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

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
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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Description

This quiz focuses on scale drawings and the concept of proportional relationships. It includes examples of calculating actual distances using scale factors. Test your understanding of these key concepts in geometry through practical applications and calculations.