Dilation and Scale factor

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but keeps its shape, using a center point and a scale factor.

Front

What is a scale factor?

Back

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

Front

How do you find the image of a point after dilation?

Back

To find the image of a point after dilation, multiply the coordinates of the point by the scale factor.

Front

What happens to the coordinates of a point (x, y) under a dilation with a scale factor of k?

Back

The new coordinates will be (kx, ky).

Front

If the scale factor is greater than 1, what type of transformation occurs?

Back

If the scale factor is greater than 1, the transformation is an enlargement.

Front

If the scale factor is between 0 and 1, what type of transformation occurs?

Back

If the scale factor is between 0 and 1, the transformation is a reduction.

Front

What is the image of the point B (4,9) under a dilation with a scale factor of 2?

Back

B' (8, 18).

Front

What is the image of the point G (-10,-6) under a dilation with a scale factor of 1/2?

Back

G' (-5, -3).

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 is the image of point A (6,10) after a dilation of scale factor 1/2?

Back

A' (3, 5).