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 is the line of reflection?

Back

The line of reflection is the line over which a figure is reflected, such as the x-axis or y-axis.

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 point will be (-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 point will be (x, -y).

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.

Front

If point A(2, 3) is reflected over the x-axis, what are the coordinates of A'?

Back

A' will be (2, -3).

Front

If point B(-4, 5) is reflected over the y-axis, what are the coordinates of B'?

Back

B' will be (4, 5).

Front

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

Back

The y-coordinates of all vertices of the triangle will change sign.

Front

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

Back

The x-coordinates of all vertices of the triangle will change sign.