Transformations on Coordinate Plane

Front

What is a translation in the coordinate plane?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you translate a point (x, y) to the right by 3 units?

Back

To translate the point (x, y) to the right by 3 units, you add 3 to the x-coordinate: (x + 3, 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

The y-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 reflecting the point (4, -5) over the x-axis?

Back

The result is (4, 5).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a rotation in the coordinate plane?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What are the coordinates of a point after a 180-degree rotation around the origin?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If point A is at (2, 3), what are the coordinates of A after a 180-degree rotation?

Back

The coordinates of A after a 180-degree rotation are (-2, -3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a reflection over the y-axis on the coordinates of a point?

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 transformation rule for translating a point (x, y) left by 4 units and down by 2 units?

Back

The transformation rule is (x - 4, y - 2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you identify a transformation from one triangle to another?

Back

You can identify a transformation by comparing the coordinates of corresponding vertices and determining the changes in position.

Tags

CCSS.HSG.CO.A.2