Rigid Transformations

Front

What is a rigid transformation?

Back

A transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

Front

What does it mean to translate a figure?

Back

To move a figure from one location to another without changing its shape, size, or orientation.

Front

What is a reflection in geometry?

Back

A transformation that flips a figure over a line, creating a mirror image.

Front

What is rotation in geometry?

Back

A transformation that turns a figure around a fixed point at a certain angle.

Front

What does it mean for two figures to be congruent?

Back

Two figures that have the same shape and size, with corresponding angles and sides being equal.

Front

How do you perform a translation of a point?

Back

Add the translation values to the coordinates of the point.

Front

What is the result of rotating a point 90 degrees clockwise around the origin?

Back

The new coordinates (x, y) become (y, -x).

Front

What is the line of reflection?

Back

The line over which a figure is reflected to create a mirror image.

Front

If a triangle is rotated 180 degrees, what happens to its orientation?

Back

The triangle will be upside down, but its size and shape remain unchanged.

Front

What is the formula for translating a point (x, y) by (a, b)?

Back

The new point will be (x + a, y + b).