Create Presentation
Download Presentation

Download Presentation
## 9.3 – Perform Reflections

- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -

**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**Reflect point P(5, 7)in the given line.**x – axis P(5, 7) becomes P A reflection in the x-axis changes (x, y) into _______ (x, –y)**Reflect point P(5, 7)in the given line.**y – axis P(5, 7) becomes P A reflection in the y-axis changes (x, y) into _______ (–x, y)**Reflect point P(5, 7)in the given line.**y = x P(5, 7) becomes P A reflection in the y = x changes (x, y) into _______ (y, x)**Graph the reflection of the polygon in the given line.**x – axis**Graph the reflection of the polygon in the given line.**y – axis**Graph the reflection of the polygon in the given line.**y = x (–1 , –3) (–3, –1) (2, –4 ) (–4, 2) (3, 0) (0, 3)**Graph the reflection of the polygon in the given line.**x – axis**Graph the reflection of the polygon in the given line.**x = –1**Graph the reflection of the polygon in the given line.**y = 2**Transformation that turns a figure about a fixed point**Rotation: 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 Q x° P**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**State if the rotation is 90°, 180°, or 270°**counter-clockwise. 180° Counter-clockwise degree of rotation: _______**State if the rotation is 90°, 180°, or 270°**counter-clockwise. 90° Counter-clockwise degree of rotation: _______**State if the rotation is 90°, 180°, or 270°**counter-clockwise. 270° Counter-clockwise degree of rotation: _______**6.Find the value of each variable in the rotation.**4 x = z = 3 y = z + 2 y = 3 + 2 y = 5**6.Find the value of each variable in the rotation.**4s = 24 s = 6 r = 2s – 3 r = 2(6) – 3 r = 12 – 3 r = 9**HW Problems**9.3 #7