Transformations

Front

What is a transformation in geometry?

Back

A transformation is a change in the position, size, or shape of a figure.

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 a point when it is reflected over the y-axis?

Back

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

Front

If point A(3, 4) is reflected over the x-axis, what is the new point?

Back

A'(3, -4) is the new point after reflection over the x-axis.

Front

What does a positive integer indicate in a translation?

Back

A positive integer indicates a movement upwards or to the right.

Front

What does a negative integer indicate in a translation?

Back

A negative integer indicates a movement downwards or to the left.

Front

What is the angle of rotation for a 90° counterclockwise rotation?

Back

The angle of rotation is 90°.

Front

How do you perform a translation of a point?

Back

To translate a point, you add the translation vector to the coordinates of the point.

Front

What is the result of rotating a point 180° about the origin?

Back

The coordinates of the point change signs: (x, y) becomes (-x, -y).

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but not its shape.