Understanding Dilations and Scale Factors

The video tutorial explains dilations, a type of transformation that changes the size of an object without altering its shape. It introduces the concept of scale factor, represented by the letter K, which determines how much larger or smaller an object becomes. The tutorial provides examples of dilating points and graphing these transformations, emphasizing the importance of the center of dilation, typically at the origin. The video also covers how different scale factors affect the size of shapes, using practical examples to illustrate these concepts.

What is the fourth type of transformation discussed in the video?

• Translation

• Rotation

• Dilation

• Reflection

What happens to shapes on a map when you zoom in or out?

• They reflect

• They change shape

• They rotate

• They change size

What does the scale factor K represent in dilations?

• The position of the object

• The shape of the object

• The color of the object

• The size change of the object

What is the effect of a scale factor greater than 1?

• The object changes shape

• The object gets larger

• The object gets smaller

• The object stays the same size

What is the effect of a scale factor equal to 1?

• The object changes shape

• The object gets larger

• The object gets smaller

• The object stays the same size

What is the effect of a scale factor between 0 and 1?

• The object gets smaller

• The object changes shape

• The object stays the same size

• The object gets larger

What mathematical operation is used to dilate a point?

• Division

• Multiplication

• Subtraction

• Addition

What assumption is made about the center of dilation in the video?

• It is at the top left corner

• It is at the origin

• It is at the center of the shape

• It is at the bottom right corner

What is the result of dilating the point (9, 0) by a factor of 2/3?

• (3, 0)

• (12, 0)

• (9, 0)

• (6, 0)

What happens to the triangle when dilated by a factor of 2?

• It becomes smaller

• It rotates

• It becomes larger

• It changes shape