Scale Factors and Proportionality Concepts

The video tutorial covers the concept of scale factor, denoted as K, and its application in determining proportionality in scale drawings. It includes examples such as Reuben's game icon, a family portrait reduction, and a dollhouse window. The tutorial explains how to verify proportionality by measuring corresponding lengths and calculating the constant of proportionality. It also demonstrates creating scale drawings with different scale factors, emphasizing the importance of accurate measurement and calculation.

What is the term used to describe the constant of proportionality in scale factors?

• Ratio

• K

• Proportion

• Factor

How can you determine if two figures are proportional?

• By measuring and comparing corresponding side lengths

• By checking their colors

• By comparing their perimeters

• By comparing their areas

In Reuben's example, what was the scale factor between the original sketch and the sticker?

• 3:1

• 2:1

• 1:2

• 1:1

What is the first step in checking for proportionality in scale drawings?

• Compare the areas

• Measure the angles

• Measure the length of the scale drawing

• Check the colors

What does a scale factor greater than one indicate?

• A rotation

• A reduction

• An enlargement

• No change

When using a scale factor of three, what should you do to the dimensions of the original drawing?

• Divide them by three

• Subtract three from each dimension

• Multiply them by three

• Add three to each dimension

In the example of the flag, what was the new length of side A after applying the scale factor?

• 4.5 inches

• 3 inches

• 6 inches

• 1.5 inches

What happens to a figure when a scale factor less than one is applied?

• It enlarges

• It rotates

• It remains the same

• It reduces

How does the scale factor affect the size of the family portrait on the phone?

• It reduces it to a smaller size

• It keeps it the same size

• It changes its shape

• It makes it larger

What is the diameter of the dollhouse window after applying the scale factor?

• 1 inch

• 10 inches

• 2 inches

• 5 inches