Unit 2A - Transformations & Symmetry Review and Practice

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 three main types of transformations?

Back

Translation, Rotation, Reflection.

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 the rule for reflecting a point (x, y) in the line y=x?

Back

The rule is (y, x).

Front

If you translate a point X(1, 2) 3 units to the left and 4 units up, what is the new position?

Back

The new position is (-2, 6).

Front

What is a Reflection in geometry?

Back

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

Front

What does it mean for a shape to be Symmetrical?

Back

A shape is symmetrical if it can be divided into two identical halves that are mirror images of each other.

Front

What is the result of rotating a point (2, 3) 90 degrees counterclockwise around the origin?

Back

The result is (-3, 2).

Front

What is the difference between Rotation and Reflection?

Back

Rotation turns a shape around a point, while reflection flips it over a line.

Front

If a shape is not symmetrical, what can we say about its halves?

Back

The halves are not mirror images of each other.