Dilations and Similarity Transformations

Front

What is a dilation in geometry?

Back

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

Tags

CCSS.8.G.A.3

Front

What does a scale factor of k = 1/2 indicate?

Back

It indicates a reduction, meaning the new figure is half the size of the original.

Tags

CCSS.8.G.A.3

Front

What does a scale factor of k = 3 indicate?

Back

It indicates an enlargement, meaning the new figure is three times the size of the original.

Tags

CCSS.7.G.A.1

Front

What is the scale factor if the original figure is enlarged to twice its size?

Back

The scale factor is k = 2.

Tags

CCSS.7.G.A.1

Front

If the scale factor is k = 1/3, what happens to the figure?

Back

The figure is reduced to one-third of its original size.

Tags

CCSS.8.G.A.3

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but different sizes, which can be obtained through dilation.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

How can you determine if two triangles are similar?

Back

If one triangle can be obtained from the other by a series of dilations, they are similar.

Tags

CCSS.HSG.SRT.A.2

Front

What happens to the dimensions of a figure when the scale factor is greater than 1?

Back

The figure undergoes an enlargement.

Tags

CCSS.8.G.A.3

Front

What happens to the dimensions of a figure when the scale factor is less than 1?

Back

The figure undergoes a reduction.

Tags

CCSS.8.G.A.3

Front

If a triangle has a scale factor of k = 1, what does that mean?

Back

It means the triangle remains the same size; there is no change.

Tags

CCSS.8.G.A.3