Transformations

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, called the image.

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 slides a figure in a straight line from one position to another without changing its shape, size, or orientation.

Front

What is a rotation?

Back

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

Front

What is reflection in geometry?

Back

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

Front

What does a 90° clockwise rotation do to a point (x, y)?

Back

A 90° clockwise rotation transforms the point (x, y) to (y, -x).

Front

What does a 180° rotation do to a point (x, y)?

Back

A 180° rotation transforms the point (x, y) to (-x, -y).

Front

What is the effect of a reflection across the x-axis on a point (x, y)?

Back

A reflection across the x-axis transforms the point (x, y) to (x, -y).

Front

What is the effect of a reflection across the y-axis on a point (x, y)?

Back

A reflection across the y-axis transforms the point (x, y) to (-x, y).

Front

How do you represent a translation of 2 units left and 3 units up mathematically?

Back

The translation can be represented as (x, y) → (x - 2, y + 3).