Dilation

Front

What is dilation in geometry?

Back

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

Front

What is a scale factor in 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 scale factor if a point A(4, 6) is dilated to A'(8, 12)?

Back

The scale factor is 2.

Front

How do you find the coordinates of a dilated point A' from point A?

Back

Use the formula: A' = P + k(A - P), where P is the center of dilation, k is the scale factor, and A is the original point.

Front

What happens to the coordinates of a point when it is dilated by a scale factor of 1?

Back

The coordinates remain unchanged.

Front

If point A(2, 3) is dilated about point P(1, 1) with a scale factor of 3, what are the coordinates of A'?

Back

A' is (4, 6).

Front

What is the effect of a negative scale factor in dilation?

Back

A negative scale factor reflects the figure across the center of dilation and changes its size.

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.