Transformations Review (Translations,Reflections,Rotations)

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a shape the same distance in the same direction.

Front

How do you perform a reflection across the x-axis?

Back

To reflect a point (x, y) across the x-axis, the new coordinates will be (x, -y).

Front

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

Back

When a point (x, y) is reflected across the y-axis, the new coordinates will be (-x, y).

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a shape around a fixed point, called the center of rotation, by a certain angle.

Front

If a point (3, 4) is rotated 90º clockwise about the origin, what are the new coordinates?

Back

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

Front

What are the coordinates of a point (2, 5) after a reflection across the x-axis?

Back

The new coordinates will be (2, -5).

Front

If a triangle with vertices (1, 2), (3, 4), and (5, 6) is reflected across the y-axis, what are the new vertices?

Back

The new vertices will be (-1, 2), (-3, 4), and (-5, 6).

Front

What is the effect of a 180º rotation on the point (x, y)?

Back

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

Front

If Point A is at (2, 3) and is reflected across the line y = x, what are the new coordinates?

Back

The new coordinates will be (3, 2).

Front

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

Back

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