Dilations Flashcard

Front

What is a dilation in geometry?

Back

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

Front

What does the scale factor indicate in a dilation?

Back

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

Front

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

Back

If a shape is dilated by a scale factor of 2, all dimensions (length, width, height) of the shape are doubled.

Front

What happens to the angles of a shape after dilation?

Back

The angles of a shape remain congruent after dilation, meaning they do not change in measure.

Front

How do you find the coordinates of a point after dilation?

Back

To find the coordinates of a point after dilation, multiply each coordinate of the original point by the scale factor.

Front

What is the center of dilation?

Back

The center of dilation is the fixed point in the plane about which all points are expanded or contracted during the dilation.

Front

If point A (4, 6) is dilated with a scale factor of ½, what are the new coordinates?

Back

The new coordinates of point A after dilation with a scale factor of ½ are (2, 3).

Front

What is the difference between enlargement and reduction in dilation?

Back

Enlargement increases the size of a shape (scale factor > 1), while reduction decreases the size of a shape (scale factor < 1).

Front

What is the term for the transformation that changes the size of a shape?

Back

The term for the transformation that changes the size of a shape is 'dilation'.

Front

If a shape is dilated by a scale factor of ¼, how does its area change?

Back

If a shape is dilated by a scale factor of ¼, its area is reduced to 1/16 of the original area, since area changes by the square of the scale factor.