Transformations in Geometry

Front

What is a transformation in geometry?

Back

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

Front

What are the main types of transformations?

Back

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

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 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 is the effect of a 180-degree rotation on a point (x, y)?

Back

The effect of a 180-degree rotation on a point (x, y) is to transform it to (-x, -y).

Front

What does reflecting a point over the y-axis do?

Back

Reflecting a point (x, y) over the y-axis transforms it to (-x, y).

Front

How does a 90-degree clockwise rotation affect a point (x, y)?

Back

A 90-degree clockwise rotation transforms the point (x, y) to (y, -x).

Front

What is the result of reflecting a point over the line y = x?

Back

Reflecting a point (x, y) over the line y = x transforms it to (y, x).

Front

What is the transformation for (x, y) ➔ (-y, x)?

Back

The transformation for (x, y) ➔ (-y, x) is a 90-degree counterclockwise rotation.