Transformations 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, called the image.

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 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

What does reflection mean in geometry?

Back

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

Front

How do you determine the angle of rotation?

Back

The angle of rotation is determined by how far the shape is turned around the center of rotation, measured in degrees.

Front

What is the rule for reflecting a point (x, y) across the x-axis?

Back

The rule for reflecting a point (x, y) across the x-axis is (x, -y).

Front

What is the rule for reflecting a point (x, y) across the y-axis?

Back

The rule for reflecting a point (x, y) across the y-axis is (-x, y).

Front

How do you find the image of a point after a translation?

Back

To find the image of a point after a translation, add the translation vector to the coordinates of the original point.

Front

What is the effect of a 90-degree clockwise rotation on a point (x, y)?

Back

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