Coordinate rules (Translation, Reflection, Rotation)

Front

What is a translation in coordinate geometry?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you translate a point (x, y) three units to the left and two units down?

Back

The new coordinates will be (x - 3, y - 2). For example, translating (5, 5) results in (2, 3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

The new coordinates will be (-x, y). For example, reflecting (3, 4) results in (-3, 4).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point when it is rotated 90° clockwise about the origin?

Back

The new coordinates will be (y, -x). For example, rotating (2, 3) results in (3, -2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

The new coordinates will be (-x, -y). For example, rotating (2, 3) results in (-2, -3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If point A(2, 3) is reflected over the x-axis, what are the new coordinates?

Back

The new coordinates will be (2, -3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a translation of (x, y) by (a, b)?

Back

The new coordinates will be (x + a, y + b). For example, translating (1, 1) by (2, 3) results in (3, 4).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you reflect the point (4, -5) over the line y = x?

Back

The new coordinates will be (-5, 4).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of rotating a point (x, y) 90° counterclockwise about the origin?

Back

The new coordinates will be (-y, x). For example, rotating (2, 3) results in (-3, 2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If point B(-3, 4) is translated 5 units to the right and 1 unit up, what are the new coordinates?

Back

The new coordinates will be (2, 5).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5