FLASHCARDIZZ: Dilations!

Front

What is a dilation in geometry?

Back

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. It is defined by a center point and a scale factor.

Front

What is a scale factor in dilations?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Front

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

Back

The scale factor is ¼.

Front

How do you calculate the scale factor from original and dilated coordinates?

Back

To find the scale factor, divide the coordinates of the dilated point by the corresponding coordinates of the original point.

Front

What is the image of point B (4, 9) under a dilation with a scale factor of 2?

Back

The image is B' (8, 18).

Front

What happens to the coordinates of a point when it is dilated by a scale factor of ½?

Back

The coordinates of the point are multiplied by ½, resulting in a reduction in size.

Front

If a point is dilated by a scale factor of -2, what does this indicate?

Back

A negative scale factor indicates that the image is not only enlarged but also reflected across the center of dilation.

Front

What is the effect of a scale factor of 1 on a point during dilation?

Back

A scale factor of 1 means the point remains unchanged; the image is congruent to the original.

Front

How do you find the coordinates of a dilated point given a center of dilation at the origin?

Back

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

Front

What is the image of point B (4, 3) when dilated by a scale factor of 3?

Back

The image is B' (12, 9).