TEKS 8.3B

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but keeps its shape the same. It is defined by a center of dilation and a scale factor.

Front

What is the scale factor in dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during dilation. A scale factor greater than 1 enlarges the figure, while a scale factor less than 1 reduces it.

Front

If a quadrilateral is dilated with a scale factor of 3.75, what happens to its side lengths?

Back

Each side length of the dilated quadrilateral will be 3.75 times the corresponding side length of the original quadrilateral.

Front

If a quadrilateral is dilated with a scale factor of 1/2, what happens to its angle measures?

Back

The angle measures remain unchanged during dilation; they are congruent to the corresponding angles of the original quadrilateral.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size. This means their corresponding angles are equal and their corresponding side lengths are proportional.

Front

What is the relationship between the angles of similar figures?

Back

The corresponding angles of similar figures are equal.

Front

What is the relationship between the side lengths of similar figures?

Back

The corresponding side lengths of similar figures are proportional to each other.

Front

What happens to the area of a figure when it is dilated?

Back

The area of a figure is multiplied by the square of the scale factor when the figure is dilated.

Front

If a pentagon is dilated with a scale factor of 1/4, how does its size compare to the original pentagon?

Back

The dilated pentagon will be smaller than the original pentagon because the scale factor is less than 1.

Front

What is the center of dilation?

Back

The center of dilation is a fixed point in the plane about which all points of a figure are expanded or contracted during dilation.