Transformations - Translation, Reflection, Rotation

Front

What is a translation in geometry?

Back

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 the rule for translating a point 2 units left and 3 units up?

Back

(x, y) → (x - 2, y + 3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does it mean to reflect a shape over the x-axis?

Back

To flip the shape over the x-axis, changing the sign of the y-coordinates.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the rule for reflecting a point (x, y) over the y-axis?

Back

(x, y) → (-x, y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a rotation in geometry?

Back

A transformation that turns a shape around a fixed point.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the definition of a 180-degree rotation?

Back

A rotation that turns a shape halfway around a circle, resulting in the shape being upside down.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the rule for rotating a point (x, y) 90 degrees counterclockwise around the origin?

Back

(x, y) → (-y, x)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a reflection over the y-axis on the point (3, 4)?

Back

The new point is (-3, 4).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a translation of (x, y) by (3, -2)?

Back

The new point is (x + 3, y - 2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

(x, y) → (y, -x)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5