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, using a scale factor and a center of dilation.

Front

What does the scale factor in a dilation represent?

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 dilation occurs?

Back

An enlargement.

Front

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

Back

A reduction.

Front

What is the center of dilation?

Back

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

Front

How do you calculate the coordinates of a dilated point?

Back

Multiply the original coordinates by the scale factor.

Front

What happens to the shape of a figure during a dilation?

Back

The shape remains similar, but the size changes.

Front

What is the relationship between corresponding sides of similar triangles?

Back

The ratios of the lengths of corresponding sides are equal.

Front

If triangle ABC is dilated by a scale factor of 2, what happens to its area?

Back

The area is multiplied by the square of the scale factor (2^2 = 4), so the area becomes four times larger.

Front

What are the coordinates of point A' if point A(1, 2) is dilated by a scale factor of 3?

Back

A'(3, 6).