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 x-axis (horizontal) and the y-axis (vertical).

Front

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

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate to (-x, y).

Front

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

Back

To reflect a point (x, y) over the x-axis, change the sign of the y-coordinate to (x, -y).

Front

What is the reflected point of D(5, -1) over the y-axis?

Back

D'(-5, -1).

Front

What is the reflected point of C(-3, 2) over the y-axis?

Back

C'(3, 2).

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 a point is reflected over both the x-axis and y-axis, what is the result?

Back

The point will be reflected to the opposite quadrant, changing both coordinates' signs.

Front

What is the reflected point of (-2, 5) over the x-axis?

Back

(-2, -5).