Volume and Area 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 a scale factor?

Back

A scale factor is a number that scales, or multiplies, a quantity. In dilations, it determines how much larger or smaller a figure becomes.

Front

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

Back

The area of the figure is multiplied by the square of the scale factor. If the scale factor is 2, the area increases by a factor of 2^2 = 4.

Front

If a figure has an area of 20 cm² and is dilated by a scale factor of 2, what is the new area?

Back

The new area is 20 cm² * 4 = 80 cm².

Front

What is the relationship between the scale factor and the area of a figure?

Back

The area of a dilated figure is proportional to the square of the scale factor.

Front

If Figure A has an area of 1200 cm² and Figure B has an area of 675 cm², what is the scale factor from A to B?

Back

Front

How do you find the scale factor when given the areas of two similar figures?

Back

Divide the area of the smaller figure by the area of the larger figure.

Front

Back

Front

Back

Front

What is the scale factor from a larger figure to a smaller figure if the larger figure has a scale factor of 4?

Back