Transformations: Translations, Reflections and Rotations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to create a new shape.

Front

What are the three main types of transformations?

Back

The three main types of transformations are translations, reflections, and rotations.

Front

Define translation in geometry.

Back

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

Front

What is a reflection in geometry?

Back

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

Front

Define rotation in geometry.

Back

Rotation is a transformation that turns a shape around a fixed point, called the center of rotation.

Front

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

Back

The coordinates become (-x, y).

Front

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

Back

The coordinates become (x, -y).

Front

What is the result of rotating a point 90 degrees counterclockwise around the origin?

Back

The new coordinates of the point (x, y) become (-y, x).

Front

What is the result of rotating a point 270 degrees clockwise around the origin?

Back

The new coordinates of the point (x, y) become (y, -x).

Front

If a triangle is translated 5 units left and 3 units up, how do the coordinates of point (2, 3) change?

Back

The new coordinates will be (-3, 6).