Scaling and Area Relationships

This video tutorial covers the concept of scaled copies, corresponding parts, and scale factors in geometry. It explains how to identify scaled copies, calculate scale factors, and understand the relationship between scaling and area. The tutorial also includes practical applications such as creating scale drawings and maps, and understanding units in scale drawings.

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 2.5 units in A becomes 5 units in B?

• 1

• 2.5

• 1.5

• 2

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

• 2

• 4

• 3

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

• 108 square units

• 180 square units

• 144 square units

If the scale factor from polygon P to polygon Q is 1/4, what is the area of Q if P has an area of 72 square units?

• 18 square units

• 36 square units

• 9 square units

• 4.5 square units

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

• 15 feet

• 9 feet

• 10 feet

• 12 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?

• 1:5

• 1:6

• 1:4

• 1:7

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

• 3 times

• 2 times

• 4 times

• 5 times

What is the scale of the drawing if the actual area of a house is 2025 square feet and the scale drawing area is 25 square inches?

• 1 inch to 9 feet

• 1 inch to 8 feet

• 1 inch to 10 feet

• 1 inch to 11 feet

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

• 48 feet

• 72 feet

• 60 feet