Translations, Reflections and Rotations

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a shape a certain distance in a specified direction.

Front

How do you reflect a point over the x-axis?

Back

To reflect a point (x, y) over the x-axis, the new coordinates will be (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 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, known as the center of rotation, by a certain angle.

Front

What are the coordinates of point C (-5, 4) after reflecting over the x-axis?

Back

(-5, -4)

Front

If a shape is translated 5 units to the right and 2 units down, what is the transformation?

Back

The transformation is a translation of (x, y) to (x + 5, y - 2).

Front

What is the effect of a 90° counterclockwise rotation on the point (x, y)?

Back

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

Front

What is the effect of a 270° counterclockwise rotation on the point (x, y)?

Back

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

Front

If triangle A is rotated 180° around the origin, what happens to its coordinates?

Back

The new coordinates will be (-x, -y) for each point of the triangle.

Front

What is the definition of reflection in geometry?

Back

Reflection is a transformation that flips a shape over a line, creating a mirror image.