Dilations

Front

What is a dilation in geometry?

Back

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

Front

What does a scale factor greater than 1 indicate in a dilation?

Back

A scale factor greater than 1 indicates an enlargement of the figure.

Front

What does a scale factor less than 1 indicate in a dilation?

Back

A scale factor less than 1 indicates a reduction of the figure.

Front

If the scale factor of a dilation is 1/2, what type of transformation is it?

Back

It is a reduction.

Front

How do you calculate the new perimeter of a shape after dilation?

Back

Multiply the original perimeter by the scale factor.

Front

What is the new perimeter of a rectangle with an original perimeter of 30 cm when enlarged by a scale factor of 4?

Back

120 cm.

Front

What are the coordinates of a point (x,y) after dilation by a scale factor of k?

Back

The new coordinates are (kx, ky).

Front

If a figure is dilated by a scale factor of 3, what happens to its area?

Back

The area is multiplied by the square of the scale factor (3^2 = 9), so the area increases by a factor of 9.

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.

Front

What happens to the distances between points in a figure during dilation?

Back

The distances between points are multiplied by the scale factor.