Exploring Geometry Transformations: Dilation

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

• It rotates the shape.

• It shrinks the shape.

• It enlarges the shape.

• It keeps the shape the same size.

What happens to a shape when a negative scale factor is used?

• It only enlarges the shape.

• It only shrinks the shape.

• It dilates and rotates the shape 180 degrees.

• It keeps the shape the same size.

In the example where the center of dilation is at the center of the shape, what is the scale factor used?

• 0.5

• 2

• 1

• 3

How do you find the new location of a vertex after dilation?

• Add the scale factor to the original coordinates.

• Multiply the distance from the center of dilation to the vertex by the scale factor.

• Subtract the scale factor from the original coordinates.

• Divide the original coordinates by the scale factor.

What is the new location of vertex A when the center of dilation is at (8, 6) and the scale factor is 2?

• (-4, -2)

• (-12, -8)

• (-8, -6)

• (-6, -4)

What happens to the shape when the center of dilation is not at the center of the shape?

• The shape remains in the same position.

• The shape rotates 90 degrees.

• The shape shrinks.

• The shape is translated (shifted) and resized.

When connecting the center of dilation to each new vertex, what is observed?

• The lines pass through the original vertices.

• The lines do not pass through the original vertices.

• The lines form a circle.

• The lines are parallel.

What does a scale factor that is a fraction do to a shape?

• It enlarges the shape.

• It rotates the shape.

• It keeps the shape the same size.

• It shrinks the shape.

What additional effect does a negative scale factor have on a shape?

• It rotates the shape 90 degrees.

• It rotates the shape 180 degrees.

• It does not rotate the shape.

• It rotates the shape 360 degrees.

What is the process for performing a dilation using a scale factor?

• Add the scale factor to the original coordinates.

• Multiply the distance from the center of dilation to each vertex by the scale factor.

• Subtract the scale factor from the original coordinates.

• Divide the original coordinates by the scale factor.