Exploring Dilations and Their Transformations

The video tutorial introduces the concept of dilations in mathematics, explaining how they change the size of figures while maintaining shape. It covers key vocabulary, the difference between reductions and enlargements, and how to identify dilations in the coordinate plane. The tutorial also provides real-world examples, such as eye dilation, and mathematical examples, illustrating how to calculate scale factors and graph dilated figures. The video concludes with exercises for viewers to practice identifying and graphing dilations.

What is a dilation in mathematics?

• A change in the position of a figure

• A change in the color of a figure

• A change in the size of a figure

• A change in the shape of a figure

Which of the following transformations results in a similar image but not a congruent one?

• Rotation

• Translation

• Dilation

• Reflection

What is the fixed point called around which a figure is dilated?

• Center of reflection

• Center of rotation

• Center of dilation

• Center of translation

In the real world, what does it mean when an optometrist dilates your pupils?

• They change the color of your pupils

• They reduce the size of your pupils

• They change the shape of your pupils

• They enlarge your pupils

If a figure is reduced by a scale factor of 1/2, what type of dilation is it?

• Translation

• Rotation

• Reduction

• Enlargement

What is the scale factor if a side of a figure is enlarged from 2 units to 4 units?

• 1/2

• 4

• 2

• 1

How do you determine if an image is a dilation of the original figure?

• By checking if the figures are similar and proportional

• By checking if the figures are the same shape

• By checking if the figures are the same size

• By checking if the figures are congruent

What is the scale factor if a side of a figure is reduced from 6 units to 3 units?

• 1/2

• 1

• 2

• 3

When graphing a dilation in the coordinate plane, what do you multiply each coordinate by?

• Different scale factors

• The coordinates of the original figure

• The same scale factor

• The coordinates of the center of dilation

What type of dilation occurs if the scale factor is greater than 1?

• Reflection

• Reduction

• Enlargement

• Translation