Transformations and Symmetry Review

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

Define translation in geometry.

Back

Translation is a type of transformation that slides a figure in a straight line from one position to another without changing its size, shape, or orientation.

Front

What is the rule for translating a point 2 units left and 3 units up?

Back

The rule is (x, y) → (x - 2, y + 3).

Front

What does symmetry mean in geometry?

Back

Symmetry refers to a balance or correspondence between parts of a shape, where one half is a mirror image of the other.

Front

What is rotational symmetry?

Back

Rotational symmetry is when a shape can be rotated around a central point and still look the same at certain angles.

Front

How many degrees is a full rotation?

Back

A full rotation is 360 degrees.

Front

What is the smallest angle of rotation that maps a shape onto itself?

Back

The smallest angle of rotation that maps a shape onto itself is called the angle of rotational symmetry.

Front

What is the order of rotation?

Back

The order of rotation is the number of times a shape fits onto itself during a full rotation of 360 degrees.

Front

If a point (x, y) is rotated 180 degrees around the origin, what is the new position?

Back

The new position is (-x, -y).

Front

What is a reflection in geometry?

Back

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