Finding the Scale Factor in Dilation

This video tutorial explains the concept of dilations in geometry, focusing on recognizing whether a dilation is a reduction or an enlargement. A reduction occurs when a shape becomes smaller, while an enlargement happens when a shape becomes larger. The video also covers how to calculate the scale factor of a dilation by comparing the coordinates of the image and the original shape. The scale factor indicates whether the dilation is an enlargement (greater than one) or a reduction (less than one).

What is a reduction in the context of dilations?

• When a shape rotates

• When a shape gets larger

• When a shape gets smaller

• When a shape changes color

In the given problem, what does the blue shape represent?

• A translation of the black shape

• An enlargement of the black shape

• A reduction of the black shape

• A rotation of the black shape

What does it mean if a dilation is larger than one?

• It is a translation

• It is a rotation

• It is an enlargement

• It is a reduction

How is a reduction usually represented?

• As a fraction

• As a percentage

• As a whole number

• As a decimal

What is the easiest way to find your dilation?

• Multiply the original point by the image point

• Subtract the original point from the image point

• Add the original point to the image point

• Divide the image point by the original point

If the image point W is (-6, 6) and the original point W is (-2, 2), what is the scale factor?

• 2

• 3

• 4

• 5

What is the scale factor if the image point is (9, 12) and the original point is (3, 4)?

• 4

• 5

• 3

• 2

What does a scale factor of 3 indicate about the dilation?

• The shape is translated three times

• The shape is rotated three times

• The shape is three times larger

• The shape is three times smaller