Transformations and Reflections in Geometry

Front

What is a reflection in geometry?

Back

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

Front

How do you reflect a point (x, y) over the y-axis?

Back

To reflect a point (x, y) over the y-axis, the new coordinates become (-x, y).

Front

How do you reflect a point (x, y) over the x-axis?

Back

To reflect a point (x, y) over the x-axis, the new coordinates become (x, -y).

Front

What are the coordinates of the reflection of the point (2, -4) over the y-axis?

Back

(-2, -4)

Front

What are the coordinates of the reflection of the point C (-5, 4) over the x-axis?

Back

(-5, -4)

Front

What is the transformation for the reflection across the line y = -1?

Back

The transformation reflects points across the horizontal line y = -1.

Front

What is the transformation for the reflection across the line x = 2?

Back

The transformation reflects points across the vertical line x = 2.

Front

What does the transformation (x, y) --> (-x, y) represent?

Back

This transformation represents a reflection over the y-axis.

Front

What does the transformation (x, y) --> (x, -y) represent?

Back

This transformation represents a reflection over the x-axis.

Front

If a point (3, 5) is reflected over the y-axis, what are the new coordinates?

Back

(-3, 5)