Rigid Transformations

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 is translation in geometry?

Back

Translation is a type of rigid transformation that slides a figure from one position to another without turning it.

Front

What does it mean to reflect an image over the y-axis?

Back

Reflecting an image over the y-axis means flipping the image across the vertical axis, changing the sign of the x-coordinates of the points.

Front

What is the result of a 90° clockwise rotation?

Back

A 90° clockwise rotation turns a figure 90 degrees to the right around a fixed point.

Front

What is the difference between clockwise and counterclockwise rotation?

Back

Clockwise rotation moves in the direction of the hands of a clock, while counterclockwise rotation moves in the opposite direction.

Front

How do you determine the new coordinates after a translation?

Back

To determine new coordinates after a translation, add the translation values to the original coordinates.

Front

What is the effect of a 180° rotation on a figure?

Back

A 180° rotation turns a figure upside down, effectively reversing its position.

Front

What are the four quadrants in a coordinate plane?

Back

The four quadrants are: Quadrant I (x>0, y>0), Quadrant II (x<0, y>0), Quadrant III (x<0, y<0), Quadrant IV (x>0, y<0).

Front

What is the transformation called when a figure is flipped over a line?

Back

The transformation is called reflection.

Front

What happens to the coordinates of a point after a reflection over the x-axis?

Back

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