Dilation and Scale Factors in Geometry

The video tutorial explains the concept of dilations in geometry, focusing on how to find the coordinates of vertices after a dilation. It covers examples with different scale factors, including 5, 2, 1/3, and 1/4, all centered at the origin. The tutorial demonstrates how to multiply or divide coordinates by the scale factor to achieve the desired transformation, resulting in a similar shape that is either larger or smaller.

What is a dilation in geometry?

• A transformation that changes the shape of a figure

• A transformation that changes the size of a figure

• A transformation that rotates a figure

• A transformation that reflects a figure

If a scale factor is greater than 1, what happens to the shape?

• The shape becomes smaller

• The shape remains the same

• The shape becomes larger

• The shape is reflected

What does a scale factor of 5 indicate in a dilation?

• The shape is reflected five times

• The shape is reduced to one-fifth of its size

• The shape is rotated five times

• The shape is enlarged to five times its size

How do you find the new coordinates after a dilation with a scale factor of 5?

• Divide each coordinate by 5

• Multiply each coordinate by 5

• Subtract 5 from each coordinate

• Add 5 to each coordinate

What are the new coordinates of point V after a dilation with a scale factor of 5 if V is (-2, 0)?

• (-2, -5)

• (-2, 5)

• (10, 0)

• (-10, 0)

What is the result of plotting points after a dilation with a scale factor of 5?

• A reflected version of the original shape

• A smaller version of the original shape

• A larger version of the original shape

• A rotated version of the original shape

How do you perform a dilation with a scale factor of 2?

• Add 2 to each coordinate

• Subtract 2 from each coordinate

• Multiply each coordinate by 2

• Divide each coordinate by 2

What happens to a shape when it undergoes a dilation with a scale factor of 2?

• The shape becomes twice as large

• The shape becomes half as large

• The shape remains the same

• The shape is reflected

What is the new coordinate of point Q after a dilation with a scale factor of 2 if Q is (1, 4)?

• (0.5, 2)

• (2, 4)

• (2, 8)

• (1, 8)

How do you perform a dilation with a scale factor of one-third?

• Add one-third to each coordinate

• Multiply each coordinate by one-third

• Divide each coordinate by three

• Subtract one-third from each coordinate