Scale Factors and Area Calculations

This video tutorial covers scaling and area concepts for seventh-grade students. It begins with an introduction to scaling and area, followed by drawing scaled copies of polygons and comparing their perimeters and areas. The tutorial then explores scaling the area of right triangles using various scale factors. It also includes determining scale factors from polygon areas and identifying scale factors in polygon copies. Finally, the video concludes with solving simple equations mentally.

What happens to the perimeter of a polygon when it is scaled by a factor of 2?

• It remains the same.

• It triples.

• It doubles.

• It quadruples.

If a right triangle with an area of 36 square units is scaled by a factor of 3, what is the area of the new triangle?

• 72 square units

• 108 square units

• 324 square units

• 144 square units

What is the area of a right triangle scaled by a factor of 1/2 if the original area is 36 square units?

• 72 square units

• 9 square units

• 18 square units

• 36 square units

What is the area of a right triangle scaled by a factor of 5 if the original area is 36 square units?

• 360 square units

• 720 square units

• 900 square units

• 180 square units

How do you find the scale factor used to create a scaled polygon if you know the areas of the original and scaled polygons?

• Multiply the areas.

• Divide the area of the scaled polygon by the area of the original polygon.

• Subtract the area of the original polygon from the area of the scaled polygon.

• Add the areas.

What is the scale factor if a side length of a polygon is reduced from 4 units to 2 units?

• 4

• 1/2

• 1/4

• 2

If a polygon's side length is increased from 2 units to 3 units, what is the scale factor?

• 3

• 2

• 0.5

• 1.5

What is the scale factor if a polygon's side length remains the same?

• 1

• 2

• 1/2

• 0

If one-seventh times x equals one, what is the value of x?

• 5

• 11

• 7

• 1

If x times one-eleventh equals one, what is the value of x?

• 5

• 7

• 11

• 1