Dilation and Scale Factors in Geometry

The video tutorial explains the concept of dilation, which involves resizing shapes using a scale factor. A scale factor greater than one enlarges the shape, while a factor less than one reduces it. The tutorial provides examples of how to apply scale factors to shapes on a coordinate plane, demonstrating the process of calculating the scale factor by comparing original and transformed coordinates.

What is the process of making a shape larger or smaller called?

• Reflection

• Rotation

• Translation

• Dilation

What does a scale factor of 4 indicate about the size of a shape?

• The shape is reduced to half its size.

• The shape remains the same size.

• The shape is enlarged to four times its size.

• The shape is reduced to a quarter of its size.

If a shape is dilated by a scale factor of 0.5, what happens to its size?

• It becomes twice as large.

• It becomes four times as large.

• It becomes half as large.

• It remains the same size.

What does a scale factor less than one do to a shape?

• Enlarges the shape

• Reduces the shape

• Keeps the shape the same size

• Flips the shape

How can you identify which shape was dilated on a coordinate plane?

• By the color of the shape

• By the size of the shape

• By the position of the shape

• By the prime symbols on the coordinates

What is the purpose of prime symbols in coordinate geometry?

• To mark the center of dilation

• To show the scale factor

• To indicate the dilated shape

• To indicate the original shape

If a point (1, 3) is dilated to (3, 9), what is the scale factor?

• 5

• 4

• 3

• 2

What is the result of multiplying both x and y coordinates by the same scale factor?

• The shape is dilated.

• The shape is translated.

• The shape is rotated.

• The shape is reflected.

How do you determine the scale factor from coordinates?

• By multiplying the coordinates

• By adding the coordinates

• By subtracting the coordinates

• By dividing the new coordinates by the original coordinates

What happens to a shape when its coordinates are multiplied by a scale factor of 3?

• It remains the same size.

• It becomes three times smaller.

• It is flipped.

• It becomes three times larger.