Reflections

Front

What is a reflection in geometry?

Back

A reflection in geometry 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, change the sign of the x-coordinate: the reflected point is (-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, change the sign of the y-coordinate: the reflected point is (x, -y).

Front

What is the result of reflecting the point (3, 5) over the y-axis?

Back

The result is (-3, 5).

Front

What is the result of reflecting the point (-2, -4) over the x-axis?

Back

The result is (-2, 4).

Front

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

Back

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

Front

If triangle ABC has vertices A(1, 2), B(3, 4), and C(5, 6), what are the coordinates after reflecting across the y-axis?

Back

The new coordinates are A'(-1, 2), B'(-3, 4), C'(-5, 6).

Front

What is the effect of reflecting a shape across the x-axis followed by the y-axis?

Back

The shape will be flipped over both axes, resulting in a transformation that changes the signs of both coordinates.