Dilation and Scale Factor

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.

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

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 figure is enlarged from a size of 2 to a size of 6?

Back

The scale factor is 3.

Front

What is the scale factor if a figure is reduced from a size of 4 to a size of 1?

Back

The scale factor is 1/4.

Front

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

Back

Multiply each coordinate of the original point by the scale factor.

Front

What is the image of point A(2, 3) under a dilation with a scale factor of 2?

Back

The image is A'(4, 6).

Front

What is the algebraic rule for dilation with a scale factor of k?

Back

The rule is (x, y) → (kx, ky).

Front

If point B(-10, -6) is dilated with a scale factor of 1/2, what are the new coordinates?

Back

The new coordinates are B'(-5, -3).