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 point 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 point will be (-x, y).

Front

What is the x-axis?

Back

The x-axis is the horizontal line in a Cartesian coordinate system where y=0.

Front

What is the y-axis?

Back

The y-axis is the vertical line in a Cartesian coordinate system where x=0.

Front

If point A is at (2, 3), what is its reflection over the x-axis?

Back

The reflection of point A (2, 3) over the x-axis is (2, -3).

Front

If point B is at (-4, 5), what is its reflection over the y-axis?

Back

The reflection of point B (-4, 5) over the y-axis is (4, 5).

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

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.