Scale Factors and Area Relationships

This video tutorial covers the concept of scaled copies, exploring how to identify and create them, calculate scale factors, and understand their properties. It delves into corresponding parts, scaling relationships, and the impact of scaling on area and perimeter. The tutorial also includes practical applications using scale drawings and maps, adjusting scales, and understanding units in scale drawings.

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

• Figure 2: 4 units tall and 4 units wide

• Figure 4: 1 unit tall and 1 unit wide

• Figure 1: 3 units tall and 2 units wide

• Figure 3: Not symmetrical

What is the scale factor from polygon A to polygon B if a side length of 2.5 units in A becomes 5 units in B?

• 2.5

• 2

• 1

• 0.5

If a right triangle has an area of 36 square units, what will be its area when scaled by a factor of 3?

• 144 square units

• 72 square units

• 324 square units

• 108 square units

How does the area of a polygon change when the scale factor is doubled?

• The area remains the same

• The area doubles

• The area quadruples

• The area triples

What is the scale factor used by Diego if the area of polygon P is 72 square units and the area of polygon Q is 4.5 square units?

• 1/16

• 1/8

• 1/4

• 1/2

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

• 10 feet

• 12 feet

• 15 feet

• 9 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

• 1:6

• 1:7

Which scale would be most appropriate for drawing the Empire State Building on an 8.5 by 11 inch paper?

• 1 cm to 50 m

• 1 cm to 200 m

• 1 cm to 10 m

• 1 cm to 100 m

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

• 60 feet

• 48 feet

• 72 feet

• 36 feet

How much would 20 bottles of water cost if each bottle is priced at $1.25?

• $22.50

• $25.00

• $20.00

• $27.50