Rigid Transformations

Front

What is a rigid transformation?

Back

A rigid transformation is a movement of a figure in a plane that preserves its shape and size. The three types of rigid transformations are translations, rotations, and reflections.

Front

What happens to the coordinates of a point (x, y) when it is translated 6 units up?

Back

The new coordinates will be (x, y + 6).

Front

How do you reflect a point (x, y) across the x-axis?

Back

The new coordinates will be (x, -y).

Front

What is the algebraic notation for a translation that moves a point 7 units left and 4 units up?

Back

(x, y) --> (x - 7, y + 4).

Front

What is the result of rotating a point (x, y) 90 degrees clockwise about the origin?

Back

The new coordinates will be (y, -x).

Front

If a point (3, 4) is reflected across the y-axis, what are the new coordinates?

Back

The new coordinates will be (-3, 4).

Front

What is the algebraic notation for a translation that moves a point 9 units right and 3 units down?

Back

(x, y) --> (x + 9, y - 3).

Front

When a triangle is rotated 180 degrees about the origin, how do the coordinates of its vertices change?

Back

The new coordinates will be (-x, -y) for each vertex.

Front

What is the effect of a reflection across the line y = x on the point (a, b)?

Back

The new coordinates will be (b, a).

Front

If a point (2, -5) is translated 4 units to the left and 2 units up, what are the new coordinates?

Back

The new coordinates will be (-2, -3).