Geometry Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to create a new shape.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a reflection in geometry?

Back

A 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

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate to (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a shape around a fixed point, called the center of rotation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you rotate a point 90 degrees clockwise around the origin?

Back

To rotate a point (x, y) 90 degrees clockwise, the new coordinates will be (y, -x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a translation in geometry?

Back

A translation is a transformation that slides a shape from one position to another without changing its size, shape, or orientation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you translate a point (x, y) by (a, b)?

Back

To translate a point (x, y) by (a, b), add a to the x-coordinate and b to the y-coordinate: (x+a, y+b).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of rotating a point 360 degrees around the origin?

Back

Rotating a point 360 degrees around the origin results in the point returning to its original position.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of reflecting a point (x, y) over the x-axis?

Back

The result of reflecting a point (x, y) over the x-axis is (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5