Creating Scale Drawings: Enlarging and Reducing with Scale Factors

This lesson teaches how to generate scale drawings using scale factors greater or less than 1. It explains that a scale factor is a multiplier for dimensions to create a new figure. When the scale factor is greater than 1, the drawing enlarges; when less than 1, it reduces. Examples demonstrate how to apply these concepts, including calculating scale factors through division. The lesson also highlights common mistakes, such as using different scale factors for dimensions, which can distort the drawing.

What happens to a drawing when a scale factor greater than 1 is applied?

• The drawing becomes smaller.

• The drawing remains the same size.

• The drawing becomes larger.

• The drawing changes shape.

If a rectangle's dimensions are multiplied by a scale factor of 2.5, what is the result?

• The rectangle becomes a square.

• The rectangle's dimensions increase.

• The rectangle's dimensions remain unchanged.

• The rectangle's dimensions decrease.

What is the effect of using a scale factor less than 1 on a drawing?

• The drawing remains the same size.

• The drawing changes color.

• The drawing becomes larger.

• The drawing becomes smaller.

Using a scale factor of 1/2 on a rectangle with dimensions 4 cm by 6 cm results in what new dimensions?

• 2 cm by 3 cm

• 8 cm by 12 cm

• 4 cm by 6 cm

• 1 cm by 1.5 cm

How can you find the scale factor of a reduced drawing?

• Multiply the original dimensions by the new dimensions.

• Add the original dimensions to the new dimensions.

• Subtract the new dimensions from the original dimensions.

• Divide the new dimensions by the original dimensions.

Why is it important to use the same scale factor for all dimensions of a drawing?

• To increase the drawing's area.

• To make the drawing colorful.

• To ensure the drawing remains proportional.

• To change the shape of the drawing.

What is a common mistake when applying scale factors to drawings?

• Using different scale factors for different dimensions.

• Using the same scale factor for all dimensions.

• Using a scale factor of 1.

• Not using any scale factor.