Transformations (Translations, Rotations & Reflections)

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way, including translations, rotations, and reflections.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a translation?

Back

A translation is a transformation that slides a figure from one position to another without turning or flipping it.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does a rotation do to a figure?

Back

A rotation turns a figure 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 a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of a 90° clockwise rotation?

Back

A 90° clockwise rotation turns a figure 90 degrees to the right around a point.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

To reflect a point (x, y) over the x-axis, the new point will be (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the image of a figure?

Back

The image of a figure is the new figure that results from a transformation.

Tags

CCSS.HSG.CO.A.2

Front

If point A(2, 3) is translated 3 units left and 2 units up, what is the new position?

Back

The new position of point A is (-1, 5).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point when it is reflected over the y-axis?

Back

The x-coordinate changes sign; for point (x, y), the reflected point is (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the angle of rotation for a 180° rotation?

Back

A 180° rotation turns a figure halfway around a point, resulting in the figure being upside down.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5