Dilation / Scale Factor

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but keeps its shape the same.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, a quantity. In dilation, it determines how much larger or smaller the image will be compared to the original figure.

Front

If a scale factor is greater than 1, what happens to the figure?

Back

The figure gets larger.

Front

If a scale factor is less than 1, what happens to the figure?

Back

The figure gets smaller.

Front

What does it mean for figures to be similar?

Back

Similar figures have the same shape but different sizes.

Front

What is the scale factor if a triangle's side length is doubled?

Back

The scale factor is 2.

Front

What is the scale factor if a triangle's side length is halved?

Back

The scale factor is 1/2.

Front

True or False: A scale factor of 1 produces a figure that is the same size as the original.

Back

True.

Front

What happens to the angles of a figure during dilation?

Back

The angles remain the same.

Front

If a triangle is dilated by a scale factor of 3, what is the relationship between the areas of the original and the new triangle?

Back

The area of the new triangle is 9 times the area of the original triangle.