9.3 – Perform Reflections

Reflection: Transformation that uses a line like a mirror to reflect an image Line of Reflection: Mirror line in a reflection

A reflection in a line m maps every point P in the plane to a point, such that: If P is not on m, then m is the perpendicular bisector of If P is on m, then

P Reflect point P(5, 7) in the given line. P(5, 7) becomes A reflection in the x-axis changes (x, y) into _______ (x, –y) x – axis

P Reflect point P(5, 7) in the given line. P(5, 7) becomes A reflection in the y-axis changes (x, y) into _______ (–x, y) y – axis

P Reflect point P(5, 7) in the given line. P(5, 7) becomes A reflection in the y = x changes (x, y) into _______ (y, x) y = x

9.4 – Perform Rotations

Rotation: Transformation that turns a figure about a fixed point Center of Rotation: The point that the rotation happens around Angle of Rotation: Degree the figure is rotated counterclockwise

A rotation about a point P through an angle of x° maps every point Q in the plane to a point such that: If Q is not the center of rotation, then and P Q x°x°

A rotation about a point P through an angle of x° maps every point Q in the plane to a point such that: If Q is the center of rotation, then Q

1. Match the diagram with the angle of rotation. B. 90°

1. Match the diagram with the angle of rotation. A. 30°

1. Match the diagram with the angle of rotation. C. 150°

State if the rotation is 90°, 180°, or 270° counter-clockwise. Counter-clockwise degree of rotation: _______ 180°

State if the rotation is 90°, 180°, or 270° counter-clockwise. Counter-clockwise degree of rotation: _______ 90°

State if the rotation is 90°, 180°, or 270° counter-clockwise. Counter-clockwise degree of rotation: _______ 270°

6. Find the value of each variable in the rotation. x = 4 z =3 y = z + 2 y = y = 5

6. Find the value of each variable in the rotation. 4s = 24 s = 6 r = 2s – 3 r = 2(6) – 3 r = 9 r = 12 – 3