Dilations

Front

What is a dilation in geometry?

Back

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

Front

What happens to a shape when the scale factor is greater than 1?

Back

The shape is enlarged.

Front

What happens to a shape when the scale factor is less than 1?

Back

The shape is reduced.

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that determines how much the shape will be enlarged or reduced.

Front

How do you calculate the coordinates of a dilated point?

Back

Multiply the original coordinates by the scale factor.

Front

If point A(2, 3) is dilated by a scale factor of 4, what are the new coordinates?

Back

A'(8, 12)

Front

What is the effect of a negative scale factor in dilation?

Back

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

Front

What is the formula for dilating a point (x, y) by a scale factor k?

Back

(kx, ky)

Front

In a dilation, what operation is primarily used with the scale factor?

Back

Multiplication.

Front

What is the relationship between the original shape and the dilated shape?

Back

The dilated shape is similar to the original shape.