Flashcard Dilations

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.

Tags

CCSS.8.G.A.3

Front

What does the scale factor indicate in a dilation?

Back

The scale factor indicates how much larger or smaller the dilated image is compared to the original figure.

Tags

CCSS.8.G.A.3

Front

If a triangle is dilated by a scale factor of 2, what happens to its dimensions?

Back

Each dimension of the triangle is multiplied by 2, making the triangle twice as large.

Tags

CCSS.8.G.A.3

Front

What is the scale factor if a figure is reduced to half its size?

Back

The scale factor is 1/2.

Tags

CCSS.7.G.A.1

Front

How do you determine the scale factor from a pre-image to its dilated image?

Back

Divide the length of a side of the dilated image by the corresponding side of the pre-image.

Tags

CCSS.8.G.A.3

Front

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

Back

A scale factor of 1 means the figure remains the same size; it is not changed.

Tags

CCSS.8.G.A.3

Front

What is the relationship between the original figure and its dilated image?

Back

The original figure and its dilated image are similar, meaning they have the same shape but different sizes.

Tags

CCSS.8.G.A.3

Front

If triangle A is dilated to triangle B with a scale factor of 1/3, how does the area change?

Back

The area of triangle B will be 1/9 of the area of triangle A, since area scales by the square of the scale factor.

Tags

CCSS.7.G.A.1

Front

What does it mean to multiply the pre-image by a scale factor?

Back

It means to increase or decrease the dimensions of the pre-image by the specified scale factor to obtain the dilated image.

Tags

CCSS.8.G.A.3

Front

How can you visually identify a dilation on a graph?

Back

You can identify a dilation by looking for a figure that is proportionally larger or smaller than the original, centered around a specific point.

Tags

CCSS.8.G.A.3