Scaling Effects on Area and Perimeter

The video tutorial covers the concept of scaling and its effect on the area of geometric shapes. It explains how scaling a shape by a factor affects its area, using examples of rhombuses, triangles, and other shapes. The lesson demonstrates that the area changes by the square of the scale factor. Students are guided through exercises using pattern blocks and are shown how to calculate new areas using the scale factor squared. The tutorial concludes with practice problems to reinforce the concepts learned.

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

• The area remains the same.

• The area triples.

• The area doubles.

• The area quadruples.

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

• 9 times larger

• 12 times larger

• 6 times larger

• 3 times larger

How do you calculate the new area of a shape when given the original area and a scale factor?

• Multiply the original area by the scale factor squared.

• Divide the original area by the scale factor.

• Multiply the original area by the scale factor.

• Add the scale factor to the original area.

What is the effect of scaling on the perimeter of a shape?

• The perimeter is halved.

• The perimeter changes by the scale factor squared.

• The perimeter changes by the scale factor.

• The perimeter remains unchanged.

If a shape's original area is 16 and the scale factor is 2, what is the new area?

• 32

• 80

• 48

• 64

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

• 1/8

• 1/4

• 1/16

• 1/2

How does the area of a shape change when scaled by a factor of 1/2?

• The area doubles.

• The area is halved.

• The area is quartered.

• The area remains the same.

What is the new area of a triangle with an original area of 36 and a scale factor of 2?

• 108

• 72

• 144

• 180

If a parallelogram's base and height are both doubled, what happens to its area?

• The area remains the same.

• The area doubles.

• The area triples.

• The area quadruples.

What is the scale factor if a shape's area changes from 36 to 9?

• 1/6

• 1/2

• 1/3

• 1/4