Reflections

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

What are the two main axes in a Cartesian coordinate system?

Back

The two main axes are the x-axis (horizontal) and the y-axis (vertical).

Front

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

Back

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

Front

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

Back

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

Front

What happens to the coordinates of a point when it is reflected over the x-axis?

Back

The y-coordinate changes sign, while the x-coordinate remains the same.

Front

What happens to the coordinates of a point when it is reflected over the y-axis?

Back

The x-coordinate changes sign, while the y-coordinate remains the same.

Front

If point A is at (3, 4), what are the coordinates of A' after reflecting over the x-axis?

Back

A' is at (3, -4).

Front

If point B is at (-5, 2), what are the coordinates of B' after reflecting over the y-axis?

Back

B' is at (5, 2).

Front

What is the result of reflecting a triangle over the x-axis?

Back

The triangle will have its vertices reflected across the x-axis, creating a mirror image.

Front

What is the significance of the line of reflection?

Back

The line of reflection is the line over which the figure is flipped to create its mirror image.