Rigid Transformations

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 y-axis?

Back

The x-coordinate of the point changes sign, while the y-coordinate remains the same. For example, (x, y) becomes (-x, y).

Front

How do you translate a figure on a coordinate plane?

Back

To translate a figure, you move it a certain distance in a specified direction, defined by a vector (horizontal and vertical shifts).

Front

What is the result of rotating a figure 90 degrees counterclockwise?

Back

The coordinates of a point (x, y) become (-y, x) after a 90-degree counterclockwise rotation.

Front

What is the difference between a translation and a reflection?

Back

A translation moves a figure without changing its orientation, while a reflection flips a figure over a line, creating a mirror image.

Front

What does it mean to rotate a figure 180 degrees?

Back

Rotating a figure 180 degrees turns it upside down, changing the coordinates (x, y) to (-x, -y).

Front

What is a translation vector?

Back

A translation vector indicates the direction and distance a figure is moved, expressed as (horizontal shift, vertical shift).

Front

How can you identify a reflection in a coordinate plane?

Back

A reflection can be identified by comparing the original and reflected points; their distances from the line of reflection are equal.

Front

What is the effect of a dilation on a figure?

Back

A dilation changes the size of a figure but keeps its shape, defined by a scale factor.

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is reflected, creating a mirror image.