End Warm Up Write rules for the following Reflection across the x-axis Reflection across the line y = x Describe the transformation: (x,y) (-x, y) 10 minutes End
Answers Write rules for the following Reflection across the x-axis (x,y) (x, -y) Reflection across the line y = x (x,y) (y, x) Describe the transformation: (x,y) (-x, y) Reflection across the y-axis
Rotations
Reflection Definition: A rotation is a transformation that turns or spins a figure about a fixed point, often the origin. *** All rotations are counterclockwise about the origin unless otherwise stated***
Counter Clockwise
Rotations Investigation Rotations about the origin have similar algebraic rules as reflections. A rotation, or turning motion, is determined by a point called the center of the rotation and a directed angle of rotation.
Group Work Time Keeper: 15 minutes Resource Manager: Rotations Worksheet (1/member) Reader: Read problems out loud to group Spy Monitor: Check in with other groups if you are stuck
Problem 2 Time Keeper: Set 20 minutes Resource Manager: Grab worksheet for each member Reader: Read problems out loud to group Spy Keeper: Check with other groups if you are stuck Page 201 Skip c) and f)
General Rules for Rotations Rotation of 90° CCW 180° 270° CCW 360°
Example Write the rule and graph the image of a 90° rotation
Another way to rotate! Let’s look at another way to rotate without using the rules!
Discussion What do our three types of transformations have in common?
Isometry An isometry is a transformation in which the preimage and image are congruent What does it mean to be congruent? Two figures are congruent if they have the exact same size and shape (≅)
Assessment 3-2-1: Write down 3 things you learned today, 2 things you have a question about, and 1 thing you found interesting Homework: Worksheet