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, and it is equidistant from the original figure and its image.

Front

How does reflecting a point over the x-axis affect its coordinates?

Back

When reflecting a point (x, y) over the x-axis, the x-coordinate remains the same while the y-coordinate changes sign, resulting in (x, -y).

Front

How does reflecting a point over the y-axis affect its coordinates?

Back

When reflecting a point (x, y) over the y-axis, the y-coordinate remains the same while the x-coordinate changes sign, resulting in (-x, y).

Front

What happens to the size and shape of a figure during a reflection?

Back

During a reflection, the size and shape of the figure remain unchanged; only the position is altered.

Front

What is the equation of a vertical line of reflection?

Back

The equation of a vertical line of reflection is of the form x = k, where k is a constant.

Front

What is the equation of a horizontal line of reflection?

Back

The equation of a horizontal line of reflection is of the form y = k, where k is a constant.

Front

If a point (a, b) is reflected over the line y = k, what are the coordinates of the reflected point?

Back

The coordinates of the reflected point will be (a, 2k - b).

Front

What is the effect of reflecting a shape over the line y = x?

Back

Reflecting a shape over the line y = x swaps the x and y coordinates of each point, resulting in (y, x).

Front

Can a reflection change the orientation of a shape?

Back

Yes, a reflection changes the orientation of a shape, making it a mirror image.