Transformation Rules

Front

What is the definition of Translation in transformations?

Back

Translation is a transformation that moves every point of a shape the same distance in a specified direction.

Front

What does the transformation rule (x,y) --> (x+2, y-6) represent?

Back

It represents a translation 2 units to the right and 6 units down.

Front

If a point (x-4,y) is translated, how does it move?

Back

It moves 4 units to the left.

Front

What is the result of reflecting a point across the x-axis?

Back

The y-coordinate of the point changes sign, while the x-coordinate remains the same.

Front

What transformation is represented by the rule f(x,y) = (-x,y)?

Back

Reflection over the y-axis.

Front

What is a Dilation in transformations?

Back

Dilation is a transformation that changes the size of a shape but not its shape, by a scale factor.

Front

What does a 90 degrees clockwise rotation do to a point (x,y)?

Back

It transforms the point to (y, -x).

Front

What is the effect of a Reflection across the y-axis on the point (x,y)?

Back

The point transforms to (-x,y).

Front

What is the definition of Rotation in transformations?

Back

Rotation is a transformation that turns a shape around a fixed point, called the center of rotation.

Front

What happens to a shape during a Translation?

Back

The shape moves to a new location without changing its size, shape, or orientation.