Effects of Dilations on Perimeter

The video tutorial covers the effects of dilations on linear and area measurements. It begins with an introduction to the lesson's goals, which include understanding how dilations affect the perimeter and area of two-dimensional figures. Key vocabulary terms such as area, perimeter, dilation, and scale factor are explained. The tutorial then demonstrates how to calculate the perimeter and area of dilated figures using numerical examples. The importance of the scale factor in these calculations is emphasized throughout the lesson.

What is the main goal of today's lesson on dilations?

• To explore the concept of symmetry

• To learn about the history of geometry

• To understand the effect of dilations on volume

• To investigate the effect of dilations on perimeter and area

Which of the following best describes a dilation?

• A transformation that changes the shape of a figure

• A transformation that reflects a figure

• A transformation that produces an image of the same shape but different size

• A transformation that rotates a figure

How do you find the perimeter of a dilated figure?

• Multiply the area of the pre-image by the scale factor

• Divide the perimeter of the pre-image by the scale factor

• Add the scale factor to the perimeter of the pre-image

• Multiply the perimeter of the pre-image by the scale factor

What is the formula for the perimeter of a rectangle?

• Length times 2 plus width

• Length times width

• 2 times length plus 2 times width

• Length plus width

If the perimeter of a pre-image is 20 and the scale factor is 2, what is the perimeter of the dilated image?

• 10

• 20

• 30

• 40

What happens to the perimeter of a figure when it is dilated by a scale factor?

• It changes according to the scale factor

• It doubles

• It remains the same

• It changes according to the square of the scale factor

What is the result of multiplying the scale factor by the perimeter of the pre-image?

• The length of the dilated image

• The volume of the dilated image

• The perimeter of the dilated image

• The area of the dilated image

What is the perimeter of a rectangle with a length of 36 and width of 12 after dilation with a scale factor of 0.5?

• 96

• 48

• 24

• 72

How is the area of a dilated figure calculated?

• By multiplying the area of the original figure by the square of the scale factor

• By multiplying the area of the original figure by the scale factor

• By adding the scale factor to the area of the original figure

• By dividing the area of the original figure by the scale factor

If the area of a pre-image is 24 and the scale factor is 2, what is the area of the dilated image?

• 48

• 96

• 192

• 72