Rigid Transformations Practice

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

Front

What does it mean to reflect a point over the x-axis?

Back

Reflecting a point (x, y) over the x-axis results in the point (x, -y).

Front

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

Back

The result is the point (-y, x).

Front

How do you perform a 180 degrees rotation on a point (x, y)?

Back

A 180 degrees rotation results in the point (-x, -y).

Front

What is the effect of reflecting a point over the y-axis?

Back

Reflecting a point (x, y) over the y-axis results in the point (-x, y).

Front

What are the coordinates of point A(1, 2) after a 90 degrees clockwise rotation?

Back

The coordinates after a 90 degrees clockwise rotation are (2, -1).

Front

If point B(3, 4) is reflected over the line y = x, what are the new coordinates?

Back

The new coordinates are B'(4, 3).

Front

What is the rule for a 270 degrees clockwise rotation?

Back

The rule is (x, y) → (y, -x).

Front

How do you determine the new coordinates after a reflection over the x-axis?

Back

The new coordinates are found by changing the sign of the y-coordinate: (x, y) → (x, -y).

Front

What happens to the coordinates of a point after a 90 degrees counterclockwise rotation?

Back

The coordinates change from (x, y) to (-y, x).