Dilation & Scale Factor

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but not its shape. It involves 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. It determines how much larger or smaller the figure will be after dilation.

Front

If a triangle is dilated by a scale factor of 1/2, what happens to its size?

Back

The triangle will be reduced to half its original size.

Front

How do you find the coordinates of a dilated point?

Back

To find the coordinates of a dilated point, multiply the original coordinates by the scale factor.

Front

What are the coordinates of point C (6, -3) after dilation by a scale factor of 1/2?

Back

The new coordinates will be (3, -1.5).

Front

What is the formula for calculating the scale factor?

Back

Front

If the original triangle has a side length of 4 and is dilated by a scale factor of 2, what is the new side length?

Back

The new side length will be 8.

Front

What does a scale factor greater than 1 indicate?

Back

A scale factor greater than 1 indicates that the figure will be enlarged.

Front

What does a scale factor less than 1 indicate?

Back

A scale factor less than 1 indicates that the figure will be reduced.

Front

If triangle ABC is dilated to triangle A'B'C' with a scale factor of 3, what is the relationship between their areas?

Back

The area of triangle A'B'C' will be 9 times the area of triangle ABC.