The video tutorial introduces the concept of dilations in mathematics, focusing on how figures can be enlarged or reduced while maintaining their shape. It covers key vocabulary, real-world examples, and the mathematical principles behind dilations, including scale factors and their effects on figures. The tutorial also provides step-by-step instructions for performing dilations on a coordinate plane, with practice exercises to reinforce learning.

What is the main objective of learning about dilations in this lesson?

• To identify and perform dilations on the coordinate plane

• To learn about different types of angles

• To understand the history of mathematics

• To solve algebraic equations

Which term describes a change in the size of a figure without altering its shape?

• Reflection

• Dilation

• Rotation

• Translation

What is the center of dilation?

• A point where all lines intersect

• A fixed point from which a figure is enlarged or reduced

• The midpoint of a line segment

• The origin of the coordinate plane

In a dilation, what does a scale factor greater than one indicate?

• A reflection

• No change in size

• A reduction in size

• An enlargement

How is a dilated image related to its original figure?

• They are congruent

• They are similar

• They are different shapes

• They are identical

What happens to a figure when it is dilated with a scale factor of one-half?

• It rotates

• It remains the same size

• It becomes smaller

• It becomes larger

When performing a dilation on a coordinate plane, what is the first step?

• Graph the image

• Identify the vertices

• Draw the figure

• Choose a scale factor

What is the result of multiplying each coordinate of a figure by a scale factor?

• The figure is rotated

• The figure is reflected

• The figure is translated

• The figure is dilated

If a triangle is dilated with a scale factor of 3, what can be said about the new triangle?

• It is a different shape

• It is congruent to the original

• It is larger and similar to the original

• It is smaller than the original

What should you check to ensure a dilation is performed correctly on a coordinate plane?

• The figure is rotated

• The sides are equal

• The angles are congruent

• The lines pass through the center of dilation