Exploring Scale Drawings and Their Transformations

The video tutorial covers the concept of scale drawings, starting with a warm-up activity using a ruler to measure foot length. It progresses to estimating the length of a larger foot and creating scale drawings of a triangular plot of land. The tutorial explains how to calculate the area of a triangle using scale drawings and compares different scale drawings by ordering them from largest to smallest. It also includes a section on creating and comparing scale drawings of a playground. The video concludes with practice problems to reinforce the concepts learned.

What is the smallest unit of measurement shown on a standard ruler for inches?

• 1/16 inch

• 1/32 inch

• 1/8 inch

• 1/64 inch

If a 7th grader's foot is 10 inches in a scale drawing, what is the estimated length of the largest foot in the world in the same drawing?

• 20 inches

• 15 inches

• 25 inches

• 30 inches

What scale factor is used if 1 cm on a map equals 5 meters in real life?

• 1:5

• 1:50

• 1:10

• 1:20

What is the area of a triangle in a scale drawing if the base is 24 cm and height is 18 cm?

• 324 square units

• 432 square units

• 216 square units

• 108 square units

How many square meters does one square centimeter represent in a scale of 1 cm to 10 meters?

• 50 square meters

• 25 square meters

• 10 square meters

• 100 square meters

In ordering scale drawings from largest to smallest, what do you notice about the scale values?

• Larger scales result in smaller drawings

• Smaller scales result in larger drawings

• Scale size does not affect drawing size

• All scales result in the same size drawings

Which scale drawing of a playground will be larger: one with a scale of 1 cm to 20 meters or one with a scale of 1 cm to 30 meters?

• 1 cm to 30 meters

• Both are the same size

• Cannot be determined from the information given

• 1 cm to 20 meters

If the scale of a map is 1 inch to 500 feet, which map would be larger for a park of 2000 feet?

• 1 inch to 1000 feet

• Cannot determine without more information

• 1 inch to 500 feet

• Both maps are the same size

What is the actual area of a restaurant if the map area is 60 square inches and the scale is 1 inch to 12 feet?

• 144 square feet

• 1728 square feet

• 8640 square feet

• 720 square feet

If a triangle in a scale drawing corresponds to triangle ABC, what is the corresponding segment to segment AC?

• Segment DE

• Segment DF

• Segment FD

• Segment EF