Dilation and Scale Factor Concepts

This video tutorial covers the concept of dilations in geometry, providing three examples to illustrate how scale factors affect the size and position of geometric figures. Example A demonstrates a dilation with a scale factor of 3, transforming point Q to Q Prime. Example B explores a scale factor of one-third, resulting in a smaller figure and the creation of Q double prime. Example C involves a rectangle with a scale factor of 2, showing how each side length doubles and the area increases fourfold. The tutorial emphasizes understanding the impact of different scale factors on geometric shapes.

What is the main focus of this video tutorial?

• Understanding rotations

• Understanding dilations

• Understanding reflections

• Understanding translations

In Example A, what is the scale factor used for dilation?

• 2

• 1/3

• 3

• 1/2

What happens to the length of a segment when a scale factor of 3 is applied?

• It becomes three times as long

• It becomes one-third as long

• It becomes half as long

• It remains the same

Where is Q prime located after the dilation in Example A?

• 24 units from P

• 18 units from P

• 6 units from P

• 12 units from P

In Example B, what is the new scale factor applied?

• 2

• 1/2

• 1/3

• 3

What happens to the length of a segment when a scale factor of 1/3 is applied?

• It becomes twice as long

• It becomes one-third as long

• It remains the same

• It becomes three times as long

Where is Q double prime located after the dilation in Example B?

• 18 units from P

• 12 units from P

• 6 units from P

• 2 units from P

What is the result of applying a scale factor less than 1 to a shape?

• The shape becomes larger

• The shape becomes smaller

• The shape disappears

• The shape remains the same

In Example C, what is the shape being dilated?

• Square

• Rectangle

• Triangle

• Circle

What is the scale factor used in Example C?

• 1/2

• 2

• 1/3

• 3