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 a constant distance in a specified direction.

Front

How do you reflect a point 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 triangle is translated 3 units right and 2 units up, what is the new position of the point (1, 1)?

Back

The new position will be (1+3, 1+2) = (4, 3).

Front

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

Back

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

Front

How do you find the new coordinates after a translation of (x, y) by (a, b)?

Back

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

Front

What is the result of reflecting the point (3, 4) across the x-axis?

Back

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

Front

If Triangle ABC is reflected across the y-axis, what happens to the coordinates of its vertices?

Back

The x-coordinates of the vertices will change sign, while the y-coordinates remain the same.

Front

What is the new position of the point (2, -3) after a reflection across the y-axis?

Back

The new position will be (-2, -3).