Understanding Dilations in Geometry

The video tutorial explains the concept of dilation in geometry, where the shape remains the same but the size changes. It introduces the scale factor, which is calculated by dividing the new size by the old size. The tutorial provides examples of dilation on a grid and discusses how different scale factors affect the size of the image, making it either larger or smaller.

What is the primary effect of a dilation on a geometric figure?

• It keeps both the shape and the size the same.

• It keeps the shape the same but changes the size.

• It changes both the shape and the size.

• It changes the shape but keeps the size the same.

What real-life example is used to explain dilation in the video?

• A balloon being inflated.

• A camera zooming in on an object.

• An eye doctor dilating pupils.

• A magnifying glass enlarging text.

What remains unchanged in a figure after a dilation?

• The size of the figure.

• The shape of the figure.

• The color of the figure.

• The position of the figure.

How do you calculate the scale factor in a dilation?

• New divided by old.

• Old divided by new.

• Old multiplied by new.

• New multiplied by old.

In the example with the triangle, what was the scale factor when the new figure was on the sixth circle and the old one was on the second circle?

• 2

• 3

• 4

• 6

What is the scale factor if the side length of the new figure is 3 and the old figure is 1?

• 4

• 3

• 2

• 1

What happens to the scale factor if the new figure is smaller than the old figure?

• The scale factor is greater than one.

• The scale factor is equal to one.

• The scale factor is less than one.

• The scale factor is negative.

If the old figure has a side length of 3 and the new figure has a side length of 1, what is the scale factor?

• 1/3

• 1/2

• 2

• 3

What does a scale factor greater than one indicate?

• The image is smaller.

• The image is larger.

• The image is the same size.

• The image is distorted.

What does a scale factor less than one indicate?

• The image is the same size.

• The image is larger.

• The image is distorted.

• The image is smaller.