Rigid Transformations Practice Problems

Front

What is a rigid transformation?

Back

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

Front

What happens to the coordinates of a point when it is reflected over the line y=x?

Back

The x and y coordinates of the point are swapped. For example, the reflection of (a,b) over y=x is (b,a).

Front

How do you reflect a point over the x-axis?

Back

To reflect a point (x,y) over the x-axis, the y-coordinate is negated. The reflection is (x,-y).

Front

What is the result of reflecting the point (4,-3) over the line y=x?

Back

The result is (-3,4).

Front

How do you translate a point 2 units to the right and 5 units down?

Back

To translate a point (x,y) 2 units to the right and 5 units down, you add 2 to the x-coordinate and subtract 5 from the y-coordinate, resulting in (x+2, y-5).

Front

What is the translation vector for moving a figure left 2 units and up 9 units?

Back

The translation vector is (-2, 9).

Front

How do you translate a trapezoid 8 units down and 5 units to the right?

Back

To translate a trapezoid down 8 units and right 5 units, each vertex (x,y) is moved to (x+5, y-8).

Front

What is a 90° clockwise rotation?

Back

A 90° clockwise rotation of a point (x,y) around the origin results in the new coordinates (y,-x).

Front

What is the result of a 270° clockwise rotation of the point (3,4)?

Back

The result is (4,-3).

Front

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

Back

A 180° rotation around the origin transforms the point (x,y) to (-x,-y).