Dilations and Scale Factor B

Front

What is a dilation in geometry?

Back

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

Front

What does a scale factor greater than 1 indicate?

Back

A scale factor greater than 1 indicates an enlargement of the figure.

Front

What does a scale factor less than 1 indicate?

Back

A scale factor less than 1 indicates a reduction of the figure.

Front

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

Back

Each dimension of the figure is multiplied by 2, resulting in an enlargement.

Front

How do you calculate the new coordinates of a point after dilation?

Back

Multiply each coordinate of the point by the scale factor.

Front

What is the scale factor if a figure is reduced to half its size?

Back

Front

What is the effect of a negative scale factor on a figure?

Back

A negative scale factor reflects the figure across the origin and changes its size.

Front

If the original coordinates of a triangle are (1, 2), (4, 2), and (1, 5), what are the new coordinates after a dilation with a scale factor of 2?

Back

The new coordinates are (2, 4), (8, 4), and (2, 10).

Front

What mathematical operation is used to apply a scale factor?

Back

Multiplication is used to apply a scale factor.

Front

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

Back

The figure remains the same size; it is not altered.