Dilations: A Mathematical Change in Size

What is the main difference between a dilation and other transformations like translation, reflection, and rotation?

• Dilations change the shape of the figure.

• Dilations do not involve a fixed point.

• Dilations result in a congruent image.

• Dilations change the size of the figure.

In the context of eye dilation, what does the optometrist do to your pupils?

• Changes their shape.

• Enlarges them.

• Moves them to a different position.

• Reduces their size.

What is the scale factor if a figure is reduced from 6 inches to 3 inches?

• 3

• 2

• 1/2

• 1/3

If a figure is enlarged with a scale factor of 2, what happens to its size?

• It triples in size.

• It doubles in size.

• It remains the same size.

• It becomes half its original size.

How can you verify if an orange image is a dilation of a blue figure?

• Check if the images are different shapes.

• Check if the images are identical.

• Check if the vertices line up with a center of dilation.

• Check if the images are congruent.

What is the first step in dilating a figure in the coordinate plane?

• Add a fixed number to each coordinate.

• Multiply each coordinate by the scale factor.

• Subtract a fixed number from each coordinate.

• Divide each coordinate by the scale factor.

If a triangle's vertices are multiplied by a scale factor of 2, what type of dilation is it?

• Enlargement

• Reduction

• Translation

• Reflection

What is the scale factor if a rectangle's side changes from 12 units to 4 units?

• 1/4

• 1/3

• 1/2

• 1/6

What happens to a figure if the scale factor is exactly 1?

• It becomes larger.

• It becomes smaller.

• It remains unchanged.

• It becomes a different shape.

How do you determine the type of dilation if the scale factor is less than 1?

• It is a reduction.

• It is a reflection.

• It is a translation.

• It is an enlargement.