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 translation of a point (x, y) 3 units left and 9 units down?

Back

The new coordinates will be (x - 3, y - 9). For example, translating (1, 1) results in (-2, -8).

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

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, by a certain angle.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does it mean to rotate a figure 180° clockwise?

Back

Rotating a figure 180° clockwise means turning it halfway around the center of rotation, resulting in a figure that is upside down.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If point X is at (1, 2) and is translated 3 units left and 4 units up, what are the new coordinates?

Back

The new coordinates will be (-2, 6).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the angle of rotation for a 90° counterclockwise rotation?

Back

A 90° counterclockwise rotation turns the figure to the left, resulting in a new orientation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you determine the new position of a point after a reflection over the x-axis?

Back

To reflect a point (x, y) over the x-axis, the new coordinates will be (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of rotating a point (3, 4) 270° counterclockwise about the origin?

Back

The new coordinates will be (4, -3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the difference between a translation and a rotation?

Back

A translation moves a figure without changing its orientation, while a rotation turns a figure around a point, changing its orientation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5