Transformations & Symmetry

Front

What is a transformation in geometry?

Back

A transformation 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 reflection in geometry.

Back

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

Front

What happens to the coordinates of a point (x, y) after a reflection across the x-axis?

Back

The coordinates become (x, -y).

Front

What happens to the coordinates of a point (x, y) after a reflection across the y-axis?

Back

The coordinates become (-x, y).

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation.

Front

How do you determine the new coordinates of a point after a 180-degree rotation around the origin?

Back

The new coordinates become (-x, -y).

Front

What is point symmetry?

Back

Point symmetry occurs when every part of a figure has a matching part at an equal distance from a central point.

Front

Which letters of the alphabet have point symmetry?

Back

Letters with point symmetry include: o, x, and s.

Front

What is the nickname for a reflection?

Back

The nickname for a reflection is a 'flip'.