Translations, Rotations, Reflections

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

What happens to the coordinates of a point (x, y) when it is reflected over the y-axis?

Back

The x-coordinate changes sign, resulting in the new coordinates (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

The new coordinates will be (-y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you reflect a point (x, y) over the line y = x?

Back

The new coordinates will be (y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a 180-degree rotation on the point (x, y)?

Back

The new coordinates will be (-x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a shape is translated 5 units to the right and 3 units up, how do you express the new coordinates of a point (x, y)?

Back

The new coordinates will be (x + 5, y + 3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the line of reflection for the point (3, 1) to become (1, 3)?

Back

The line of reflection is y = x.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

The new coordinates will be (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you describe a rotation of 270 degrees counterclockwise?

Back

It is equivalent to a 90-degree clockwise rotation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the transformation that moves trapezoid ABCD to A'B'C'D'?

Back

The trapezoid is translated 8 units down and 5 units to the right.

Tags

CCSS.HSG.CO.A.2