Dilations and scale factors

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps 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 1, what happens to the figure?

Back

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

Front

How do you write the algebraic notation for a dilation with a scale factor of 1/2?

Back

(x, y) goes to (1/2x, 1/2y).

Front

What happens to a figure when the scale factor is greater than 1?

Back

The figure undergoes an enlargement.

Front

What happens to a figure when the scale factor is less than 1?

Back

The figure undergoes a reduction.

Front

If a triangle is dilated with a scale factor of 2, how are the coordinates of point (3, 4) transformed?

Back

The new coordinates will be (6, 8).

Front

What is the scale factor if a point (8, 12) is dilated to (2, 3)?

Back

The scale factor is 1/4.

Front

How do you determine the scale factor between two similar figures?

Back

Divide the length of a side of the larger figure by the corresponding side of the smaller figure.

Front

If ΔDEF is dilated to become ΔABC with a scale factor of 2, what can you say about the lengths of corresponding sides?

Back

The lengths of the sides of ΔABC are twice the lengths of the corresponding sides of ΔDEF.