Illustrative Grade 8 Unit 2

Front

What is a dilation in geometry?

Back

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

Front

What is a scale factor in a dilation?

Back

The scale factor is a number that scales, or multiplies, the dimensions of a figure during a dilation.

Front

How do you determine the new coordinates of a point after dilation?

Back

To find the new coordinates of a point after dilation, multiply each coordinate by the scale factor.

Front

If a polygon is dilated by a scale factor of 3, what happens to its size?

Back

The polygon's size increases to three times its original size.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but may differ in size, typically having proportional corresponding sides.

Front

How can you identify similar figures?

Back

Similar figures can be identified by comparing their corresponding angles and the ratios of their corresponding sides.

Front

What is the relationship between the scale factor and the area of similar figures?

Back

The area of similar figures is proportional to the square of the scale factor.

Front

What is the effect of a scale factor less than 1 on a figure?

Back

A scale factor less than 1 reduces the size of the figure.

Front

What is the effect of a scale factor greater than 1 on a figure?

Back

A scale factor greater than 1 enlarges the figure.

Front

How do you find the scale factor between two similar polygons?

Back

To find the scale factor, divide the length of a side of the larger polygon by the length of the corresponding side of the smaller polygon.