Dilation and Transformations in Geometry

This video tutorial introduces geometry students to the concept of dilations, a type of transformation that alters the size of a figure while maintaining its shape. The video explains the role of the scale factor in dilations and demonstrates how to perform dilations using both the origin and non-origin points as centers. Students are guided through examples and encouraged to practice problems to reinforce their understanding.

What is the primary characteristic of a dilation in geometry?

• It changes the shape of the figure.

• It alters the angles of the figure.

• It modifies the size while keeping proportions.

• It rotates the figure around a point.

Which of the following is NOT a type of transformation discussed in the video?

• Scaling

• Translation

• Reflection

• Rotation

What is the term used for the original shape before a dilation?

• Prototype

• Postimage

• Preimage

• Image

When using the origin as the center of dilation, what operation is performed on the coordinates?

• Addition

• Division

• Subtraction

• Multiplication

If a scale factor is greater than 1, what happens to the size of the image?

• It disappears.

• It becomes larger.

• It remains the same.

• It becomes smaller.

How do you determine the new points when the center of dilation is not the origin?

• By adding the scale factor to the coordinates.

• By subtracting the scale factor from the coordinates.

• By rotating the points around the center.

• By considering the distances from the center and multiplying by the scale factor.

What is the result of using a scale factor less than 1?

• The image becomes larger.

• The image remains unchanged.

• The image becomes smaller.

• The image rotates.

In the practice problems, what is the scale factor used for the first example?

• 1.5

• 2

• 1/2

• 3

What is the center of dilation in the second practice problem?

• Origin

• Point (0, 1)

• Point (3, 2)

• Point (1, 0)

What is the effect of a scale factor of 3 on the distances from the center of dilation?

• Distances are halved.

• Distances are doubled.

• Distances are tripled.

• Distances remain the same.