Transformation

Front

What is a translation in geometry?

Back

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

Front

If a point (x, y) is translated 4 units left, what is the new position?

Back

The new position will be (x - 4, y).

Front

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

Back

The x-coordinate changes sign: (x, y) becomes (-x, y).

Front

What is the result of reflecting a point (x, y) across the x-axis?

Back

The y-coordinate changes sign: (x, y) becomes (x, -y).

Front

How do you write a translation rule for moving a point 2 units right and 3 units down?

Back

The translation rule is (x, y) → (x + 2, y - 3).

Front

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

Back

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

Front

What is the transformation called when a figure is flipped over a line?

Back

This transformation is called reflection.

Front

If a point (3, 4) is translated 5 units left and 1 unit up, what are the new coordinates?

Back

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

Front

What is the general form of a translation rule?

Back

A translation rule is generally written as (x, y) → (x + a, y + b), where 'a' and 'b' are the horizontal and vertical shifts, respectively.

Front

What does it mean to rotate a figure 180 degrees?

Back

Rotating a figure 180 degrees results in the coordinates changing to (-x, -y).