Understanding Dilations in Geometry

What is the main difference between dilations and rigid motions?

• Dilations change the size of the shape, while rigid motions do not.

• Dilations change the shape's position, while rigid motions change its size.

• Rigid motions change the shape's size, while dilations change its position.

• Both dilations and rigid motions change the shape's size.

What is required to perform a dilation?

• A pre-image, a scale factor, and a center of dilation.

• A pre-image, a rotation angle, and a center of rotation.

• A pre-image, a translation vector, and a center of translation.

• A pre-image, a reflection line, and a center of reflection.

What happens when a scale factor is greater than one?

• The shape remains the same size.

• The shape disappears.

• The shape enlarges.

• The shape reduces in size.

What is the result of multiplying a number by zero in the context of dilations?

• The shape enlarges.

• The shape reduces.

• The shape disappears.

• The shape remains unchanged.

In a dilation, what does a scale factor between 0 and 1 indicate?

• The shape disappears.

• The shape remains unchanged.

• The shape reduces.

• The shape enlarges.

What is the effect of using a negative scale factor in dilations?

• It keeps the shape the same size.

• It results in a negative length, which is not possible.

• It reduces the shape.

• It enlarges the shape.

How does a scale factor of 1/2 affect a shape?

• It triples the size of the shape.

• It doubles the size of the shape.

• It keeps the shape the same size.

• It reduces the shape to half its size.

What happens to the coordinates of a shape when dilated from the origin with a scale factor?

• They remain unchanged.

• They are divided by the scale factor.

• They are added to the scale factor.

• They are multiplied by the scale factor.

What is the result of a dilation with a scale factor of 3?

• The shape remains the same size.

• The shape enlarges to three times its size.

• The shape disappears.

• The shape reduces to one-third its size.

When dilating from a point not at the origin, what is used to determine the new size?

• The original coordinates.

• The angle of rotation.

• The reflection line.

• The distance from the center of dilation.