Reflection

Front

What is reflection in geometry?

Back

Reflection is a transformation that flips a figure over a line, creating a mirror image of the original figure.

Front

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

Back

The coordinates become (x, -y).

Front

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

Back

The coordinates become (-x, y).

Front

What happens to the coordinates of a point (x, y) when it is reflected across the line y = x?

Back

The coordinates become (y, x).

Front

If point A(3, 4) is reflected across the x-axis, what are the coordinates of A'?

Back

A' is (3, -4).

Front

If point B(-2, 5) is reflected across the y-axis, what are the coordinates of B'?

Back

B' is (2, 5).

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is reflected to create a mirror image.

Front

If triangle GHI is reflected across the x-axis, what is the new position of point I(6, 2)?

Back

I' is (6, -2).

Front

What is the algebraic representation of reflecting a point across the x-axis?

Back

The representation is @@(x, y) ightarrow (x, -y)@@.

Front

If a figure is reflected over the y-axis, what is the effect on its coordinates?

Back

The x-coordinates of all points are negated.