Similarity Transformations

Front

What is a similarity transformation?

Back

A similarity transformation is a geometric transformation that alters the size of a figure but maintains its shape, including dilations and translations.

Tags

CCSS.HSG.SRT.A.2

CCSS.8.G.A.4

Front

What is a scale factor in dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation. It is the ratio of the length of a side of the image to the length of the corresponding side of the original figure.

Tags

CCSS.8.G.A.3

Front

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

Back

If the scale factor is greater than 1, the figure is enlarged.

Tags

CCSS.8.G.A.3

Front

If the scale factor is between 0 and 1, what happens to the figure?

Back

If the scale factor is between 0 and 1, the figure is reduced.

Tags

CCSS.8.G.A.3

Front

What are the coordinates of a point after dilation with a scale factor of k?

Back

If a point has coordinates (x, y) and is dilated by a scale factor of k, the new coordinates will be (kx, ky).

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 neither enlarged nor reduced.

Tags

CCSS.8.G.A.3

Front

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

Back

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

Tags

CCSS.8.G.A.3

Front

What is the scale factor if the original length is 4 and the new length is 2?

Back

The scale factor is 1/2, indicating a reduction.

Tags

CCSS.7.G.A.1

Front

What is the scale factor if the original length is 3 and the new length is 9?

Back

The scale factor is 3, indicating an enlargement.

Tags

CCSS.7.G.A.1

Front

What are the new coordinates of D(4,6) after a dilation centered at the origin with a scale factor of 1/2?

Back

D'(2,3) after applying the scale factor of 1/2.

Tags

CCSS.8.G.A.3