4.3 redo

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 x-axis?

Back

To reflect a point (x, y) over the x-axis, the new point will be (x, -y).

Front

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, the new point will be (-x, y).

Front

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

Back

The result is (3, -5).

Front

What is the result of reflecting the point (-2, -3) over the y-axis?

Back

The result is (2, -3).

Front

What is the algebraic representation of reflecting a point over the y-axis?

Back

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

Front

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

Back

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

Front

What happens to the coordinates of a point when it is reflected over the line y = -x?

Back

The coordinates of a point (x, y) become (-y, -x) when reflected over the line y = -x.

Front

Reflect the point (4, -2) over the line y = -x. What is the new point?

Back

The new point is (2, -4).