Understanding Dilation and Scale Factor

The video tutorial explains the concept of dilation in geometry, highlighting it as a form of non-rigid motion that results in similar figures. It introduces the scale factor, denoted by 'K', which determines whether a figure enlarges or reduces. The tutorial covers the dilation rule, which involves multiplying coordinates by the scale factor, and provides examples using both whole numbers and fractions. It also explains how to identify the scale factor from given coordinates.

What is the result of a dilation transformation?

• Congruent figures

• Similar figures

• Identical figures

• Different figures

Which of the following is true about non-rigid motion?

• It changes both size and shape

• It preserves size and shape

• It changes size but not shape

• It changes shape but not size

What does a scale factor greater than 1 indicate?

• Reduction

• Enlargement

• No change

• Reflection

What happens when the scale factor is exactly 1?

• The figure reduces

• The figure enlarges

• The figure remains unchanged

• The figure reflects

How do you apply the dilation rule to a figure?

• Multiply each coordinate by the scale factor

• Divide each coordinate by the scale factor

• Add the scale factor to each coordinate

• Subtract the scale factor from each coordinate

What is the result of multiplying coordinates by a scale factor of 2?

• The figure remains the same

• The figure enlarges

• The figure reduces in size

• The figure reflects

How can you simplify the process of multiplying by a fraction?

• By multiplying each coordinate by the numerator

• By subtracting the fraction from each coordinate

• By dividing each coordinate by the denominator

• By adding the fraction to each coordinate

What is the benefit of using smaller numbers in calculations?

• It increases the risk of errors

• It simplifies calculations

• It has no effect on calculations

• It makes calculations more complex

How do you find the scale factor from given points?

• Multiply the original coordinates by the dilated coordinates

• Divide the dilated coordinates by the original coordinates

• Subtract the dilated coordinates from the original coordinates

• Add the original coordinates to the dilated coordinates

What is the scale factor if E prime is 2 and E is 6?

• 1/2

• 1/3

• 1/4

• 1/5