Dilations Flashcard

Front

What is a dilation in geometry?

Back

A transformation that alters the size of a figure but not its shape, using a scale factor.

Front

What is a scale factor?

Back

A number that scales, or multiplies, the dimensions of a figure during a dilation.

Front

What does it mean if the scale factor is greater than 1?

Back

The figure is enlarged.

Front

What does it mean if the scale factor is less than 1?

Back

The figure is reduced.

Front

What is the center of dilation?

Back

The fixed point in a dilation from which all points are expanded or contracted.

Front

If a figure is dilated by a scale factor of 2, what happens to its dimensions?

Back

All dimensions are doubled.

Front

If a point (x, y) is dilated by a scale factor of k, what are the new coordinates?

Back

(kx, ky) where k is the scale factor.

Front

What is the result of dilating a point (3, 4) by a scale factor of 1/2?

Back

(1.5, 2) because each coordinate is multiplied by 1/2.

Front

How do you determine if a dilation is an enlargement or reduction?

Back

Compare the scale factor to 1; if >1 it's an enlargement, if <1 it's a reduction.

Front

What are the coordinates of point A(3, 3) after a dilation by a scale factor of 3?

Back

A'(9, 9) because each coordinate is multiplied by 3.