PA: reflections intro

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 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 happens to the coordinates of a point 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 reflected over the x-axis?

Back

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

Front

If point A is at (3, 4), what are the coordinates of A' after reflection over the y-axis?

Back

A' is at (-3, 4).

Front

If point B is at (-2, 5), what are the coordinates of B' after reflection over the x-axis?

Back

B' is at (-2, -5).

Front

What is the result of reflecting the point (0, 0)?

Back

The result is still (0, 0) because the origin is unchanged by reflection.

Front

What is the effect of reflecting a shape over the x-axis?

Back

The shape will appear flipped vertically.