DILATIONS

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but maintains its shape, defined by a scale factor.

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

If a circle has a radius of 5 units and is dilated by a scale factor of 4, what is the new radius?

Back

20 units.

Front

What happens to the coordinates of a point (x, y) when it is dilated by a scale factor of k?

Back

The new coordinates become (kx, ky).

Front

What is the effect of a scale factor less than 1 in a dilation?

Back

It reduces the size of the figure.

Front

What is the effect of a scale factor greater than 1 in a dilation?

Back

It enlarges the size of the figure.

Front

How do you perform a dilation centered at the origin?

Back

Multiply each coordinate of the figure by the scale factor.

Front

What is the difference between a dilation and a translation?

Back

A dilation changes the size of a figure, while a translation moves it without changing its size or shape.

Front

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

Back

The area is multiplied by the square of the scale factor, so it becomes 4 times larger.

Front

What is the relationship between the original and dilated figures?

Back

The original and dilated figures are similar, meaning they have the same shape but different sizes.