Dilations Flashcard

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape, either enlarging or reducing it.

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 point A (8, 12) is dilated to point A' (2, 3), what is the scale factor?

Back

¼

Front

What happens to the coordinates of a point when it is dilated from the origin with a scale factor of k?

Back

The new coordinates (x', y') are found by multiplying the original coordinates (x, y) by the scale factor: (x', y') = (kx, ky).

Front

What is the result of a dilation with a scale factor greater than 1?

Back

The figure is enlarged.

Front

What is the result of a dilation with a scale factor between 0 and 1?

Back

The figure is reduced.

Front

Can a dilation have a negative scale factor?

Back

Yes, a negative scale factor reflects the figure across the center of dilation in addition to resizing it.

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

If the center of dilation is the origin and the scale factor is 3, what are the new coordinates of point B (0, 4)?

Back

(0, 12) because (0*3, 4*3) = (0, 12).

Front

What does it mean if a dilation has a scale factor of 1?

Back

The figure remains the same size; it is neither enlarged nor reduced.