Understanding Dilations and Scale Factors

This video tutorial from Mathcation explains how to solve dilations on a coordinate grid. It covers the concept of dilations, the role of scale factors, and how to apply them to X and Y coordinates. The video includes three practice problems with different scale factors, demonstrating how to enlarge or shrink figures on a grid. Viewers are encouraged to download practice worksheets and quizzes from mathcation.com for further learning.

What is the main topic of the video?

• Solving equations

• Understanding dilations

• Graphing lines

• Calculating area

What happens to a shape during a dilation?

• It changes shape

• It reflects

• It rotates

• It enlarges or shrinks

What does a scale factor greater than 1 indicate?

• The shape will shrink

• The shape will rotate

• The shape will enlarge

• The shape will reflect

How do you apply a scale factor to a figure's coordinates?

• Subtract the scale factor from the coordinates

• Add the scale factor to the coordinates

• Multiply the coordinates by the scale factor

• Divide the coordinates by the scale factor

In the first practice problem, what is the scale factor used?

• 3

• 1

• 1/2

• 2

What is the result of multiplying the coordinates (-3, -1) by a scale factor of 2?

• (-9, -3)

• (-1.5, -0.5)

• (-6, -2)

• (-3, -1)

In the second practice problem, what is the scale factor used?

• 1

• 1/5

• 1/3

• 1/2

What happens to a shape when dilated by a scale factor of 1/5?

• It enlarges

• It reflects

• It shrinks

• It rotates

In the third practice problem, what is the scale factor used?

• 2

• 5

• 3

• 4

What is the result of multiplying the coordinates (1, 2) by a scale factor of 4?

• (8, 16)

• (1, 2)

• (2, 4)

• (4, 8)