Dilations Practice

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape the same, 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 3?

Back

(x, y) --> (3x, 3y) represents an enlargement by a scale factor of 3.

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

How does the center of dilation affect the image?

Back

The center of dilation is the fixed point in the plane about which all points are expanded or contracted.

Front

What happens to the coordinates of a point (x, y) when it is dilated by a scale factor of k?

Back

The new coordinates will be (kx, ky).

Front

What is the difference between a dilation and a translation?

Back

A dilation changes the size of a figure, while a translation moves a figure without changing its size or shape.

Front

What is the effect of a dilation on angles?

Back

Dilation does not change the measures of angles; they remain the same.