Dilation and Scale Factor Concepts

This video tutorial covers the concept of dilations on the coordinate plane, a type of transformation that changes the size of a figure. It explains the importance of the scale factor, which determines whether a figure enlarges or reduces. The tutorial provides step-by-step instructions for dilating figures with different scale factors, illustrating how to calculate and apply these factors to achieve accurate transformations. The video emphasizes that while the size changes, the shape remains similar, ensuring the image and pre-image are proportional.

Which type of transformation changes the size of a figure?

• Rotation

• Dilation

• Reflection

• Translation

What is the term used for a dilation that makes a figure larger?

• Rotation

• Reflection

• Reduction

• Enlargement

If a scale factor is less than 1, what happens to the figure?

• It gets larger

• It gets smaller

• It flips

• It stays the same size

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

• (1, 4)

• (2, 4)

• (0, 2)

• (2, 2)

What should you do if the dilated figure does not have the same shape as the original?

• Change the scale factor

• Check for mistakes

• Reflect the figure

• Rotate the figure

What is the scale factor if the original side length is 3 and the new side length is 6?

• 1/3

• 1/2

• 2

• 3

How do you find the new coordinates after applying a scale factor of 1/2?

• Add 2

• Subtract 2

• Divide by 2

• Multiply by 2

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

• (-2, 2)

• (-1, 2)

• (1, 2)

• (-1, 4)

What is the formula to find the scale factor using coordinates?

• Original over new

• New over original

• Sum of coordinates

• Difference of coordinates

If the original coordinate is (5, 5) and the new coordinate is (1, 1), what is the scale factor?

• 1/2

• 5

• 1/5

• 2