Perform Geometric Transformations

Front

What is a geometric transformation?

Back

A geometric transformation is an operation that moves or changes a shape in a specific way, such as translation, rotation, reflection, or dilation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is translation in geometry?

Back

Translation is a transformation that moves every point of a shape the same distance in a given direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is rotation in geometry?

Back

Rotation is a transformation that turns a shape around a fixed point, called the center of rotation, by a certain angle.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is reflection in geometry?

Back

Reflection is a transformation that flips a shape over a line, creating a mirror image.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is dilation in geometry?

Back

Dilation is a transformation that enlarges or reduces a shape by a scale factor relative to a center point.

Tags

CCSS.8.G.A.3

Front

Which transformations preserve the size of a pre-image?

Back

Reflection, rotation, and translation preserve the size of a pre-image.

Tags

CCSS.HSG.CO.A.2

Front

What happens to the coordinates of a point A(x, y) after a translation of (x + a, y + b)?

Back

The new coordinates will be A'(x + a, y + b).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a 360-degree rotation on a point A(x, y)?

Back

A point A(x, y) remains unchanged after a 360-degree rotation, resulting in A'(x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the scale factor in dilation?

Back

The scale factor in dilation is the ratio of the distance from the center of dilation to a point on the image to the distance from the center of dilation to the corresponding point on the pre-image.

Tags

CCSS.8.G.A.3

Front

How do you determine the new coordinates after a translation?

Back

To determine the new coordinates after a translation, add the translation values to the original coordinates.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5