Scale Factors and Transformations

This lesson covers computing actual lengths from scale drawings. It explains how to determine the scale factor when no measurements are given, using examples of a boat and a race car. Students learn to calculate the scale factor and apply it to find the perimeter or height in scale drawings. Exercises reinforce these concepts by applying them to different scenarios.

What is the first step in working with scale drawings?

• Identify the original and scale drawing

• Convert units to percentages

• Measure the perimeter

• Calculate the scale factor

How do you calculate the scale factor?

• Multiply the original length by 100

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

• Add the lengths of the original and scale drawing

• Subtract the original length from the scale drawing length

What is the scale factor if the length in the scale drawing is 11 units and the original is 4 units?

• 225%

• 175%

• 275%

• 125%

In the exercise, what is the length of the shorter path if the longer path is 32.4 units and the scale factor is 33 1/3%?

• 14.8 units

• 12.8 units

• 16.8 units

• 10.8 units

What is the height of car 2 if the scale factor is 325% and the height of car 1 is 4 feet?

• 10 feet

• 12 feet

• 13 feet

• 15 feet

What does a scale factor greater than 100% indicate?

• No change

• An enlargement

• A reduction

• A decrease

What is the second step after calculating the scale factor?

• Measure the original length

• Multiply the scale factor by the original size

• Divide the scale factor by the original size

• Add the scale factor to the original size

If the scale factor is 165%, what type of transformation is it?

• No transformation

• Enlargement

• Reduction

• Reflection

What is the result of multiplying the scale factor by the original length?

• The area

• The perimeter

• The scale drawing length

• The original length

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

• To simplify calculations

• To measure the original length

• To compare different scale factors

• To determine if the drawing is an enlargement or reduction