How can you tell if an object is reflected? Reflection 08-20-18 1. Pick up Homework from table. 2. Copy down the Essential Question (EQ). 3. Work on the Warm-up. Essential Question How can you tell if an object is reflected? Warm Up: Answer the question. Describe the transformation from blue to red.

Identifying a Reflection Is it a reflection? Explain Its is a reflection because, the red figure is flipped to make the blue figure Its is a not a reflection, because, the red figure is does not flipped to make the blue figure

Tell whether the blue figure is a reflection. Explain

Reflect over the __ –axis

Reflect over the __ – axis?

Fill in the points for A

Fill in the points for A’

What do you notice? What changed? Pre Image → Image ( 1, 4 ) → ( 1, -4 ) ( 1, 1 ) → ( 1, -1 ) ( 4, 1 ) → ( 4, -1 ) The y sign changed. RULE: When reflection over The X- axis ( x, y ) → ( x, -y )

Fill in the points for A

Fill in the points for A’

What do you notice? What changed? Pre Image → Image ( 1, 2 ) → ( -1, 2 ) ( 4, 2 ) → ( -4, 2 ) ( 1, 5 ) → ( -1, 5 ) ( 4, 5 ) → ( -4, 5 ) The x sign changed. RULE: When reflection over The Y- axis ( x, y ) → ( -x, y )

Reflection on Coordinate Grid Lesson 08-21-18 1. Copy down the Essential Question (EQ). 2. Work on the Warm-up. Essential Question How is reflecting over the x-axis different from reflecting over the y –axis ? Warm Up: Answer the question. Name and Describe the transformation from blue to red.

Lets revisit yesterdays problem

Lets revisit yesterdays problem

Graph the image of the figure using the transformation given

Graph the image of the figure using the transformation given

Graph the image of the figure using the transformation given

Graph the image of the figure using the transformation given

Find the coordinates of the vertices of each figure after the given transformation.

R‘ (3 , -5), N’ ( 4, 0), V’ ( 2, -1) , E(0, -4) K ‘ ( 1 , 1), N’ ( 4, 0), Q’ ( 4, 4)

Write the rule to describe each transformation Reflect over the y- axis

How is rotation different from reflection? 1. Copy down the Essential Question (EQ). 2. Work on the Warm-up. Essential Question How is rotation different from reflection? Warm Up: Answer the question. Describe what happen in the 3 different pictures

The meaning of a Words

Center of rotation: the center point where the object turn. Vocabulary Rotation: the turn transformation where an object rotates around a point. Center of rotation: the center point where the object turn. We will use ( 0, 0 ) as the center of rotation Angle of rotation: How much the object will turn

Animation of Rotation Center of Rotation 4/24/2019

Example 1: Identifying Rotations Tell whether each transformation appears to be a rotation. Explain. A. B. No; the figure appears to be flipped. Yes; the figure appears to be turned around a point.

Your Turn: Tell whether each transformation appears to be a rotation. No, the figure appears to be a translation. Yes, the figure appears to be turned around a point.

Degree of Rotation

Degree of Rotation -90 90

Rotation on Coordinate Grid 08-23-18 1. Copy down the Essential Question (EQ). 2. Work on the Warm-up. Essential Question How do you tell if an object is rotated by looking at its points. Warm Up: Answer the question. Describe any patterns in the picture

90 clockwise rotation Formula (x, y)  (y, x) English Formula: Change the sign for the x, then switch the x and y. A(-2, 4) A’(4, 2) 4/24/2019

Example: Rotate (-3, -2) 90 clockwise Formula (x, y)  (y, x) English Formula: Change the sign for the x, then switch the x and y. A’(-2, 3) (-3, -2) 4/24/2019

90 counter-clockwise rotation Formula (x, y)  (y, x) English Formula: Change the sign for the y, then switch the x and y. A’(2, 4) A(4, -2) 4/24/2019

Example: Rotate (-5, 3) 90 counter-clockwise Formula (x, y)  (y, x) English Formula: Change the sign for the y, then switch the x and y (-5, 3) (-3, -5) 4/24/2019

180 rotation Formula (x, y)  (x, y) English Formula: Just change the sign for the x and y A’(4, 2) A(-4, -2) 4/24/2019

Example: Rotate (3, -4) 180 Formula (x, y)  (x, y) English Formula: Just change the sign for the x and y (-3, 4) (3, -4) 4/24/2019

90 CW (x, y)  (y, x) 90 CCW (x, y)  (y, x) Rotation Formulas 90 CW (x, y)  (y, x) 90 CCW (x, y)  (y, x) 180 (x, y)  (x, y) 4/24/2019

Degree of Rotation -90 90

Rotation on Coordinate Grid Part 2 08-24-18 1. Turn in your homework to the table. 2. Copy down the Essential Question (EQ). 3. Work on the Warm-up. Essential Question How is the rotation transformation similar to the reflection transformation? Warm Up: Answer the question. Does the shape get larger during a rotation?

Draw the shape and rotate it 3 different ways: (1) 90°clockwise, (2) 90°counterclockwise, and (3) 180°

90°clockwise (2) 90°counterclockwise (3) 180°

Draw the shape and rotate it 3 different ways: (1) 90°clockwise, (2) 90°counterclockwise, and (3) 180°

90°clockwise (2) 90°counterclockwise (3) 180°

90°clockwise (2) 90°counterclockwise (3) 180°

Formula (x, y)  (y, x) English Formula: Change the sign for the y, then switch the x and y.

Formula (x, y)  (y, x) English Formula: Change the sign for the x, then switch the x and y.

Formula (x, y)  (x, y) English Formula: Just change the sign for the x and y