Transformations (Translations, Rotations & Reflections)

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 translate a point (x, y) 3 units to the left and 2 units up?

Back

The new coordinates will be (x - 3, y + 2).

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

What happens to the coordinates of a point (x, y) when it is rotated 180 degrees about the origin?

Back

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

Front

What is a reflection in geometry?

Back

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

Front

If triangle ABC is translated left 2 units and up 5 units, what are the new coordinates of point A(x, y)?

Back

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

Front

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

Back

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

Front

How do you determine the image of a point after a reflection over the y-axis?

Back

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

Front

What is the difference between a translation and a rotation?

Back

A translation moves a shape without changing its orientation, while a rotation turns a shape around a point.

Front

If point Z(4, -2) is reflected over the x-axis, what are the new coordinates?

Back

The new coordinates will be (4, 2).