Dilations Practice

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, using a center point and a scale factor.

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

If the scale factor is greater than 1, what type of transformation occurs?

Back

An enlargement occurs.

Front

If the scale factor is less than 1, what type of transformation occurs?

Back

A reduction occurs.

Front

What is the algebraic representation of a dilation with a scale factor of 2?

Back

(x, y) --> (2x, 2y) represents an enlargement by a scale factor of 2.

Front

What is the algebraic representation of a dilation with a scale factor of 0.5?

Back

(x, y) --> (0.5x, 0.5y) represents a reduction by a scale factor of 0.5.

Front

What does it mean for a dilation to have the origin as the center?

Back

It means that the figure is enlarged or reduced from the point (0, 0) in the coordinate plane.

Front

How do you determine if a transformation is a dilation?

Back

If the transformation changes the size of a figure while keeping the shape and angles the same, it is a dilation.

Front

What is the effect of a dilation on the coordinates of a point?

Back

The coordinates of a point (x, y) are multiplied by the scale factor to find the new coordinates.

Front

What is the difference between an enlargement and a reduction?

Back

An enlargement increases the size of a figure, while a reduction decreases the size.