Transformations

Front

What is a transformation in geometry?

Back

A transformation is a function that maps a set of points to another set of points, altering their position, size, or orientation.

Front

What are the four main types of transformations?

Back

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

Front

Define translation in geometry.

Back

Translation is a transformation that moves every point of a figure the same distance in a given direction.

Front

What is a rotation?

Back

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

Front

Explain reflection in geometry.

Back

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

Front

What is the rule for translating a point (x, y) 2 units to the right and 3 units up?

Back

The rule is (x + 2, y + 3).

Front

How do you reflect a point (x, y) over the y-axis?

Back

To reflect a point (x, y) over the y-axis, the new coordinates will be (-x, y).

Front

What happens to the coordinates of a point when it is rotated 90° clockwise?

Back

When a point (x, y) is rotated 90° clockwise, the new coordinates become (y, -x).

Front

What is the effect of a 180° rotation about the origin on the point (x, y)?

Back

A 180° rotation about the origin changes the coordinates to (-x, -y).

Front

If point A is at (3, 4), what are the coordinates after a translation of (x - 1, y + 2)?

Back

The new coordinates will be (2, 6).