[color=#ff0000][size=150]The x-coordinate value stays the same, while the y-coordinate value changes signs.[/size][/color]

[size=150][color=#ff0000]The y-coordinate value stays the same, but the x-coordinate value changes signs.[/color][/size]

[color=#ff0000][size=150]The x-coordinates and the y-coordinates are switching places.[/size][/color]

[size=150][color=#ff0000]This transformation is similar to reflecting across the x-axis because the x-coordinate remains the same. Since we are farther away from the axis of symmetry, we have a farther distance to reflect. [br][br]To find the image of a new point, count how far away the point is from the axis of symmetry. For example, since A is 6 units away from the line y = -2, we need to count 6 units on the opposite side to get A'. The point A' is at (1, -8). [br][br]The coordinate notation is difficult to write because the points could be on either side of the line of symmetry. We will not ask you for the rule when the line of reflection is a horizontal or vertical line, unless it is the x-axis or y-axis.[/color][/size]

[size=150][color=#ff0000]This is similar to reflecting across the y-axis because the y-coordinate stays the same. The axis of symmetry is on the right of the object, so our reflection is now on the right. This will change depending on where the axis of symmetry is.[br][br]The coordinates of B' are (4, 2).[/color][/size]

[size=150][color=#ff0000]This reflection is similar to the reflection over y = x in that the x and y coordinates switch spots, but it is different because the signs change. [br][br]The coordinates of D' are (-1, -3).[br]The coordinate notation for this transformation is (x,y) -> (-y, -x).[/color][/size]