Dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure, either enlarging or reducing it, while maintaining its shape.

Front

What happens when a dilation has a scale factor greater than one?

Back

The dilation results in an enlargement of the figure.

Front

What happens when a dilation has a scale factor less than one?

Back

The dilation results in a reduction of the figure.

Front

Back

It implies that the two triangles have the same shape but may differ in size.

Front

How do you calculate the scale factor of a dilation?

Back

The scale factor is calculated by dividing the length of a side of the image by the length of the corresponding side of the original figure.

Front

What are the coordinates of point A(3,3) after a dilation by a scale factor of 3?

Back

A'(9,9) after dilation.

Front

What are the coordinates of point B(6,6) after a dilation by a scale factor of 3?

Back

B'(18,18) after dilation.

Front

What are the coordinates of point C(9,3) after a dilation by a scale factor of 3?

Back

C'(27,9) after dilation.

Front

If the point (8, 12) is dilated to (2, 3), what is the scale factor?

Back

Front

What is the effect of a scale factor of 1 on a figure?

Back

A scale factor of 1 means the figure remains unchanged in size.