Translations, Reflections, and 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 perform a reflection over the y-axis?

Back

To reflect a point (x, y) over the y-axis, the new coordinates become (-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 rotated 180° around the origin?

Back

The coordinates (x, y) become (-x, -y) after a 180° rotation around the origin.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If point A(2, 3) is translated 4 units left and 2 units up, what are the new coordinates?

Back

The new coordinates are (-2, 5).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of reflecting the point B(-4, 5) over the x-axis?

Back

The new coordinates are B'(-4, -5).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

Define rotation in geometry.

Back

Rotation is a transformation that 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 are the coordinates of point C(1, -2) after a translation of 5 units right and 3 units down?

Back

The new coordinates are (6, -5).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you find the image of a point after a reflection over the line y = x?

Back

To reflect a point (x, y) over the line y = x, the new coordinates become (y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a 90° clockwise rotation on the point (x, y)?

Back

The new coordinates become (y, -x) after a 90° clockwise rotation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If triangle DEF is reflected over the y-axis, how do the coordinates of point D(3, 4) change?

Back

The new coordinates of point D' are (-3, 4).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5