Scaling Effects on Area and Perimeter

The video tutorial covers the concept of scaling and its impact on the area of geometric shapes. It begins with an introduction to scaling and explores how different shapes, such as rhombuses and triangles, change in area when scaled. The lesson includes practical applications using pattern blocks to visualize scaling effects. The tutorial explains how to calculate the new area of a shape by multiplying the original area by the square of the scale factor. The video concludes with a review of homework and practice problems to reinforce the concepts learned.

What happens to the area of a shape when each side is doubled?

• The area quadruples.

• The area doubles.

• The area triples.

• The area remains the same.

If a triangle is scaled by a factor of 3, how many times larger is the area?

• 9 times larger

• 6 times larger

• 12 times larger

• 3 times larger

What is the formula to calculate the new area of a shape after scaling?

• Original area times scale factor squared

• Original area divided by scale factor squared

• Original area divided by scale factor

• Original area times scale factor

How does scaling affect the perimeter of a shape?

• The perimeter changes by the scale factor squared.

• The perimeter changes by the scale factor.

• The perimeter remains unchanged.

• The perimeter doubles.

What is the new area of a shape with an original area of 16 and a scale factor of 2?

• 32

• 48

• 64

• 80

If a right triangle has an area of 36 square units, what is the area when scaled by a factor of 2?

• 108 square units

• 180 square units

• 144 square units

• 72 square units

What is the scale factor if a shape's area changes from 72 to 4.5 square units?

• 1/16

• 1/8

• 1/4

• 1/2

How do you determine the scale factor from a new and original dimension?

• Divide the new by the original dimension

• Multiply the original by the new dimension

• Divide the original by the new dimension

• Multiply the new by the original dimension

What is the effect of scaling on a one-dimensional length?

• It doubles.

• It changes by the scale factor.

• It remains unchanged.

• It changes by the scale factor squared.

What is the area of a shape with an original area of 36 and a scale factor of 1/2?

• 36

• 9

• 18

• 27