Translations, Reflections, Rotations

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

How do you represent a translation mathematically?

Back

A translation can be represented as (x + a, y + b), where 'a' and 'b' are the distances moved in the x and y directions, respectively.

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 are the two common axes of reflection?

Back

The two common axes of reflection are the x-axis and the y-axis.

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, known as the center of rotation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How is a rotation defined?

Back

A rotation is defined by the angle of rotation and the direction (clockwise or counterclockwise).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the image of a point after a 180-degree rotation around the origin?

Back

The image of a point (x, y) after a 180-degree rotation around the origin is (-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 reflected over the y-axis?

Back

When a point (x, y) is reflected over the y-axis, its 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 reflected over the x-axis?

Back

When a point (x, y) is reflected over the x-axis, its coordinates become (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a translation on the shape of an object?

Back

A translation does not change the shape, size, or orientation of an object; it only changes its position.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5