Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape, called the image.

Front

What are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Front

What happens to the coordinates of a point (x, y) when it is reflected over the y-axis?

Back

The x-coordinate changes sign, resulting in the new coordinates (-x, y).

Front

What is the result of rotating a point (x, y) 90 degrees counterclockwise about the origin?

Back

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

Front

What is the result of rotating a point (x, y) 180 degrees about the origin?

Back

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

Front

What is the result of translating a point (x, y) by (a, b)?

Back

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

Front

How does reflecting a figure over the x-axis change the ordered pair?

Back

It changes the y-coordinate, resulting in (x, -y).

Front

What is the image of the point C(6, -4) after a 90-degree clockwise rotation about the origin?

Back

C'(-4, -6).

Front

If a point is translated 4 units left, what is the transformation rule?

Back

The transformation rule is (x - 4, y).

Front

What is the image of the point Z(4, -2) after a reflection over the x-axis?

Back

Z'(4, 2).