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 a specified direction.

Front

How do you find the new coordinates of a point after a translation?

Back

To find the new coordinates, add the translation vector to the original coordinates.

Front

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

Back

The y-coordinate of the point changes sign, while the x-coordinate remains the same.

Front

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

Back

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

How do you rotate a point 90 degrees clockwise about the origin?

Back

To rotate a point (x, y) 90 degrees clockwise, the new coordinates will be (y, -x).

Front

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

Back

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

Front

If a triangle is translated 3 units right and 2 units up, what is the translation vector?

Back

The translation vector is (3, 2).

Front

What is the rule for reflecting a point across the line y = x?

Back

The new coordinates will be (y, x).

Front

If point A(2, 3) is reflected across the x-axis, what are the new coordinates?

Back

The new coordinates are (2, -3).