Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way on a coordinate plane.

Front

What are the three main types of transformations?

Back

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

Front

Define translation in geometry.

Back

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

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

Define reflection in geometry.

Back

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

Front

What happens to the coordinates of a point (x, y) during a translation by (a, b)?

Back

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

Front

How do you determine the angle of rotation for a point on a coordinate plane?

Back

The angle of rotation can be determined by the direction and degree the point is turned around the center of rotation.

Front

What are the coordinates of the point (3, 4) after a 90º clockwise rotation about the origin?

Back

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

Front

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

Back

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

Front

What is the result of reflecting the point (5, -3) over the x-axis?

Back

The new coordinates will be (5, 3).