Translations, Reflections, & Rotations

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in a specified direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you translate a point (x, y) 5 units down and 5 units to the right?

Back

The new coordinates will be (x + 5, y - 5).

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

How do you reflect a point (x, y) over the y-axis?

Back

The new coordinates will be (-x, y).

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 x-axis?

Back

The new coordinates will be (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 figure around a fixed point, called the center of rotation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What are the new coordinates of a point (x, y) after a 90° clockwise rotation around the origin?

Back

The new coordinates will be (y, -x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What are the new coordinates of a point (x, y) after a 180° rotation around the origin?

Back

The new coordinates will be (-x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a 270° clockwise rotation on a point (x, y)?

Back

The new coordinates will be (-y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If trapezoid ABCD is translated 8 units down and 5 units to the right, what are the new coordinates of point A(x, y)?

Back

The new coordinates will be (x + 5, y - 8).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5