Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to create a new shape.

Front

What are the four main types of transformations?

Back

Translation, Reflection, Rotation, Dilation.

Front

What is a translation?

Back

A translation moves every point of a shape the same distance in the same direction.

Front

What is a reflection?

Back

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

Front

What is a rotation?

Back

A rotation turns a shape around a fixed point at a certain angle.

Front

What is dilation?

Back

Dilation resizes a shape by a scale factor, either enlarging or reducing it.

Front

How do you reflect a point over the y-axis?

Back

Change the sign of the x-coordinate of the point.

Front

What does the prime symbol (') indicate in geometry?

Back

It indicates a new image or transformed version of a shape.

Front

If point A(3, 4) is translated 2 units left and 3 units up, where is the new point located?

Back

A' (1, 7).

Front

What is the result of rotating a point 90 degrees counterclockwise around the origin?

Back

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