Scale Factors and Area Calculations

This video tutorial covers the concept of scaled copies, solving equations, understanding corresponding parts and scale factors, and the impact of scaling on area. It also delves into creating and interpreting scale drawings and maps, adjusting scales, and understanding units in scale drawings. The lessons are designed for seventh-grade students and aim to enhance their understanding of geometry and algebra through practical examples and problem-solving exercises.

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

• Figure 1: 3 units tall and 2 units wide

• Figure 2: 4 units tall and 4 units wide

• Figure 3: Not symmetrical

• Figure 4: 1 unit tall and 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?

• 0.5

• 1

• 2

• 2.5

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

• 3

• 4

• 2

What is the area of a right triangle with an original area of 36 square units when scaled by a factor of 3?

• 324 square units

• 72 square units

• 144 square units

• 108 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?

• 1/16

• 1/8

• 1/4

• 1/2

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

• 9 feet

• 12 feet

• 15 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?

• 1:7

• 1:6

• 1:5

• 1:4

How many times larger is the area of triangle F compared to triangle G?

• 2 times

• 5 times

• 3 times

• 4 times

What happens to a scale drawing when the scale changes from 1 cm to 1 meter to 1 cm to 2 meters?

• The drawing becomes smaller

• The drawing becomes larger

• The drawing becomes distorted

• The drawing remains the same size

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

• 1:20

• 1:10

• 1:12

• 1:15