Dilations

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 of dilation 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 a scale factor is greater than 1, what type of transformation occurs?

Back

An enlargement occurs.

Front

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

Back

A reduction occurs.

Front

What does it mean for figures to be similar?

Back

Similar figures have the same shape but may differ in size; their corresponding angles are equal and their corresponding sides are proportional.

Front

How do you calculate the width of a drawing using a scale?

Back

To find the width in the drawing, divide the actual width by the scale factor.

Front

What is the result of dilating a point (x, y) by a scale factor k?

Back

The new coordinates will be (kx, ky).

Front

What is the center of dilation?

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 figure when it is dilated by a scale factor of 2?

Back

Each coordinate of the figure is multiplied by 2.

Front

If point (4, 6) is dilated to (8, 12), what is the scale factor?

Back

The scale factor is 2.