Exploring Similar Shapes and Scale Drawings

What is a scale drawing commonly used for?

• Writing essays

• Cooking recipes

• Playing musical instruments

• Map making and construction

In a blueprint, if 4 inches represent 3 feet, how many feet does 24 inches represent?

• 24 feet

• 18 feet

• 12 feet

• 6 feet

If a wall in a blueprint is 16 inches long, what is its actual length in feet?

• 14 feet

• 12 feet

• 10 feet

• 8 feet

What is the length of a back wall in a blueprint if the actual wall is 33 feet long?

• 55 inches

• 22 inches

• 33 inches

• 44 inches

What is a proportion in the context of similar shapes?

• Two equal shapes

• Two different fractions

• Two equal fractions

• Two different shapes

If 2 inches in a drawing represent 3 feet in real life, how many feet does 1 inch represent?

• 2 feet

• 1.5 feet

• 3 feet

• 0.5 feet

What is the area of an actual wall if its dimensions in the drawing are 11 inches by 28 inches and the scale is 1 inch to 1.5 feet?

• 1155 square feet

• 924 square feet

• 693 square feet

• 462 square feet

If a drawing scale changes from 1 cm = 3 meters to 1 cm = 6 meters, how does the new drawing size compare to the old one?

• Twice as long

• Same length

• Half as long

• Four times as long

How do you verify that two scales are proportional?

• By comparing their widths

• By comparing their lengths

• By comparing their unit rates

• By comparing their areas

What is the relationship between the first and second drawings if each length in the first drawing is twice the corresponding length in the second?

• The first drawing is the same size as the second

• The first drawing is four times the size of the second

• The first drawing is twice the size of the second

• The first drawing is half the size of the second