Scale Drawings and Scale Factors

This lesson covers how to compute actual lengths from scale drawings using scale factors. It includes examples and exercises on calculating scale factors, determining the perimeter of scale drawings, and finding dimensions like height. The lesson emphasizes the importance of identifying original and scale drawings, measuring corresponding segments, and using scale factors to find new dimensions.

What is the primary purpose of identifying the original and scale drawing in a scale drawing problem?

• To understand which measurements to use for calculations

• To calculate the area of the drawing

• To determine the color of the drawing

• To find the volume of the drawing

How can you calculate the scale factor when given measurements from both the original and scale drawings?

• Add the lengths of both drawings

• Subtract the length of the original from the scale drawing

• Divide the length in the scale drawing by the length in the original and multiply by 100

• Multiply the lengths of both drawings

What is the next step after calculating the scale factor to find the size of the scale drawing?

• Multiply the scale factor by the original size

• Divide the scale factor by the original size

• Subtract the scale factor from the original size

• Add the scale factor to the original size

In Exercise 1, what is the first step to find the length of the shorter path?

• Calculate the area of the longer path

• Find the volume of the shorter path

• Label the original and scale drawings

• Measure the diagonal of the longer path

What is the scale factor used in Exercise 1 to find the length of the shorter path?

• 75%

• 33 and 1/3%

• 100%

• 50%

In the race car example, what is the scale factor calculated for the length of the cars?

• 100%

• 325%

• 150%

• 200%

What is the final step to find the height of the scale drawing in the race car example?

• Add the scale factor to the original height

• Multiply the scale factor by the original height

• Subtract the scale factor from the original height

• Divide the scale factor by the original height

What does a scale factor greater than 100% indicate about a scale drawing?

• It is a reduction

• It is an enlargement

• It is a mirror image

• It is unchanged

In Exercise 2, what is the relationship between the original and scale drawings?

• The original is a mirror image of the scale drawing

• The scale drawing is an enlargement of the original

• The scale drawing is always smaller

• The original is always larger

What is the purpose of converting the scale factor to a percentage?

• To decrease the scale factor

• To increase the scale factor

• To change the units of measurement

• To make it easier to compare with other percentages