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

Back

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

Front

If the point (3, 4) is reflected over the X-axis, what are the new coordinates?

Back

(3, -4)

Front

What is the result of reflecting the point (-5, 2) over the X-axis?

Back

(-5, -2)

Front

What does it mean to translate a point in the coordinate plane?

Back

To translate a point means to move it a certain distance in a specified direction without changing its orientation.

Front

If a point (x, y) is translated 3 units to the right and 2 units up, what are the new coordinates?

Back

(x+3, y+2)

Front

What is the effect of a translation on the size and shape 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 definition of congruence in geometry?

Back

Congruence means that two figures have the same shape and size.

Front

When a triangle is rotated 90 degrees clockwise about the origin, how do the coordinates of a point (x, y) change?

Back

The new coordinates become (y, -x).

Front

What is the result of rotating the point (1, 2) 90 degrees clockwise about the origin?

Back

(2, -1)