Scale Factors and Proportions in Geometry

This video tutorial covers the concept of scaled copies, including identifying and creating them, understanding corresponding parts and scale factors, and solving related equations. It also explores scaled relationships, calculating areas, and using scale drawings and maps to determine real-world dimensions. The tutorial provides practical examples and exercises to reinforce these concepts.

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

• Figure 3: Asymmetrical shape

• Figure 2: 4 units tall, 4 units wide

• Figure 4: 1 unit tall, 1 unit wide

• Figure 1: 3 units tall, 2 units 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?

• 2

• 4

• 1

• 3

How does the area of a scaled copy change if the scale factor is 2?

• The area quadruples

• The area triples

• The area remains the same

• The area doubles

What is the scale factor from a triangle with a base of 2 and height of 4 to a triangle with a base of 4 and height of 8?

• 4

• 2

• 0.5

• 1

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

• 10 feet

• 12 feet

• 9 feet

• 15 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?

• 1:4

• 1:5

• 1:3

• 1:6

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

• 5 meters

• 10 meters

• 20 meters

• 15 meters

What is the perimeter of quadrilateral Q if it is a scaled copy of quadrilateral P with a scale factor of 3, and P has a perimeter of 62 units?

• 124 units

• 186 units

• 248 units

• 62 units

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 in feet?

• 48 feet

• 36 feet

• 24 feet

• 72 feet