Scale Factors and Proportions in Geometry

This video tutorial covers the concept of scaled copies, corresponding parts, and scale factors in geometry. It explains how to identify and create scaled copies, calculate perimeters and areas, and understand relationships between scaled figures. The tutorial also explores scale drawings, maps, and the effects of changing scales, providing practical applications and problem-solving strategies.

Which of the following figures is a scaled copy of the original figure A?

• Figure 1: 3 units tall, 2 units wide

• Figure 2: 4 units tall, 4 units wide

• Figure 3: Asymmetrical shape

• Figure 4: 1 unit tall, 1 unit wide

What is the scale factor from polygon A to polygon B if the side length of A is 2.5 and B is 5?

• 2.5

• 2

• 1

• 0.5

If a polygon has a perimeter of 10 units and its scaled copy has a perimeter of 30 units, what is the scale factor?

• 1

• 4

• 3

• 2

What is the area of a right triangle with an original area of 36 square units when scaled by a factor of 2?

• 72 square units

• 144 square units

• 108 square units

• 36 square units

If Diego's scaled version of a polygon has an area of 4.5 square units and the original has 72 square units, what scale factor did he use?

• 1/2

• 1/4

• 1/3

• 1/5

What is the approximate height of the plane when using the scale drawing?

• 20 feet

• 15 feet

• 12 feet

• 10 feet

If a book is 1.5 inches wide on a computer monitor and the actual book is 9 inches wide, what is the scale used?

• 1:3

• 1:4

• 1:6

• 1:9

How long is the actual swimming pool if the scale drawing is 10 cm long and 1 cm represents 1 meter?

• 5 meters

• 20 meters

• 10 meters

• 15 meters

Which of the following scales is equivalent to 1 inch to 1 foot?

• 1:15

• 1:12

• 1:10

• 1:20

If a model airplane is built at a scale of 1:72 and the model is 8 inches long, how long is the actual airplane?

• 36 feet

• 60 feet

• 48 feet

• 24 feet