1.2 Transformations (Translations, Rotations & Reflections)

Front

What is a translation in geometry?

Back

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

Front

How do you translate a point (x, y) right by a units and up by b units?

Back

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

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation.

Front

What does it mean to rotate a figure 90 degrees clockwise?

Back

It means to turn the figure 90 degrees to the right around a specified point.

Front

What is a reflection in geometry?

Back

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

Front

What is the line of reflection for a reflection across the x-axis?

Back

The line of reflection is the x-axis, where the y-coordinates of points are inverted.

Front

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

Back

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

Front

What is the term for rotating a figure to the left?

Back

Counter-clockwise.

Front

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

Back

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

Front

How do you identify a reflection across the y-axis?

Back

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