Geometry Transformations

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 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 a specified direction.

Front

What is the effect of a translation of 5 units left and 1 unit up on a point (x, y)?

Back

The new coordinates will be (x-5, y+1).

Front

What is a reflection in geometry?

Back

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

Front

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

Back

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

Front

What is the rule for a 270-degree clockwise rotation?

Back

The rule for a 270-degree clockwise rotation is (x, y) --> (-y, x).

Front

If a point (3, -5) is rotated 270° clockwise, what are the new coordinates?

Back

The new coordinates will be (5, 3).

Front

What is the definition of rotation in geometry?

Back

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

Front

What is the effect of a rotation of 90 degrees counterclockwise on a point (x, y)?

Back

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