5-1, 5-2, 5-3 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

How do you translate a point (x, y) by (a, b)?

Back

To translate a point (x, y) by (a, b), you add a to the x-coordinate and b to the y-coordinate, resulting in the new point (x+a, y+b).

Front

What is the result of rotating a point (x, y) 180° about the origin?

Back

The result of rotating a point (x, y) 180° about the origin is (-x, -y).

Front

What happens to the coordinates of a point when it is reflected over the y-axis?

Back

When a point (x, y) is reflected over the y-axis, the x-coordinate changes sign, resulting in the new point (-x, y).

Front

What is the image of a transformation?

Back

The image of a transformation is the new figure or point that results from applying a transformation to the original figure or point.

Front

How do you reflect a point (x, y) over the line y=x?

Back

To reflect a point (x, y) over the line y=x, you swap the coordinates, resulting in the new point (y, x).

Front

What is the effect of a translation on the size of a figure?

Back

A translation does not change the size or shape of a figure; it only changes its position.

Front

What is the coordinate of point A' after rotating point A(3, 5) 180° about the origin?

Back

The coordinate of point A' after rotating A(3, 5) 180° about the origin is (-3, -5).

Front

What is the relationship between the original point and its image after a reflection?

Back

The original point and its image after a reflection are equidistant from the line of reflection.

Front

What is the formula for reflecting a point (x, y) over the x-axis?

Back

To reflect a point (x, y) over the x-axis, the new point is (x, -y).