Translation, Reflection, Rotation Practice

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a shape a constant distance in a specified direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the rule for translating a point (x, y) to the right by 3 units and up by 2 units?

Back

(x + 3, y + 2)

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

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

Back

The coordinates become (-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

What is the rule for rotating a point (x, y) 90° clockwise about the origin?

Back

(x, y) becomes (y, -x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the rule for rotating a point (x, y) 180° about the origin?

Back

(x, y) becomes (-x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the rule for rotating a point (x, y) 270° counterclockwise about the origin?

Back

(x, y) becomes (-y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a point (a, b) is reflected over the x-axis, what are the new coordinates?

Back

The new coordinates are (a, -b).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of translating a shape by the rule (x - 4, y + 3)?

Back

The shape moves 4 units left and 3 units up.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5