Unit 2 Lesson 2 Part 1 Perform Reflections

Unit 2 Lesson 2 Part 1 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

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) (x, y) into _______

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) (x, y) into _______

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

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

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 x° P Q

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. 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. x= 4 z= 3 y= z+2 y= 3+2 y=5

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

HW Problems LT 2. 2 and 2. 3 593 -594 602 -605 WS 3 -7, 9, 12 (Graph on answer sheet) 3 -8, 20, 21 ROTATION WS Pg. 593 #7