Presentation is loading. Please wait.

Presentation is loading. Please wait.

Rotation Reflection Translation.

Published byClinton Lewis Modified over 10 years ago

Similar presentations

Presentation on theme: "Rotation Reflection Translation."— Presentation transcript:

1 Rotation Reflection Translation

2 The grid Quadrant 2 (-x,+y) Quadrant 1 (+x,+y) Quadrant 3 (-x,-y)

3

4 Start End . 90⁰ CW Rotation (+5,+4) (+4,-5) . . . 90⁰ CCW Rotation (+5,+4) (-4,+5) . 180⁰ CW Rotation (+5,+4) (-5,-4) . . . 270⁰ CW Rotation (+5,+4) (-4,+5) . 270⁰ CCW Rotation (+5,+4) (+4,-5) .

5 (-4,+5) (+5,+4) (+5,+4) Rotation (ex#1) (-5,-4) (+4,-5)
90⁰ CCW 270⁰ CW (+5,+4) Rotation (ex#1) (-5,-4) (+4,-5) 180⁰ 90⁰ CW 270⁰ CCW

6 (-4,+5) (+5,+4) (-4,+5) Rotation (ex#2) (-5,-4) (+4,-5)
90⁰ CW 270⁰ CCW (-4,+5) Rotation (ex#2) (-5,-4) (+4,-5) 90⁰ CCW 270⁰ CW 180⁰

7 (-4,+5) (+5,+4) (-5,-4) Rotation (ex#3) (-5,-4) (+4,-5)
90⁰ CW 270⁰ CCW 180⁰ (-5,-4) Rotation (ex#3) (-5,-4) (+4,-5) 90⁰ CCW 270⁰ CW

8 (-4,+5) (+5,+4) (+4,-5) Rotation (ex#4) (-5,-4) (+4,-5)
180⁰ 90⁰ CW 270⁰ CCW (+4,-5) Rotation (ex#4) (-5,-4) (+4,-5) 90⁰ CCW 270⁰ CW

9

10 Start End . X-axis Reflection (+5,+4) (+5,-4) . . . Y-axis Reflection (+5,+4) (-5,+4)

11 (-5,+4) (+5,+4) X-axis Reflection (-5,-4) (+5,-4)

12 (-5,+4) (+5,+4) Y-axis Reflection (-5,-4) (+5,-4)

13

14 ( X , Y ) ( +5 , +4 ) +3 Translation +4 -9 -12 ( -3 , -2 )
( +5 , +4 ) +3 Up “3” Translation +4 Right “4” Down “9” -9 -12 Left “12” ( -3 , -2 )

15 . . . . . (+5,+4) Translation (-3,-2) Up “3” Right “4” Down “9”
Left “12” Down “9” . . . (+5,+4) Translation . . (-3,-2)

16 Mathematics Homework Thursday May 29, 2014 Problem #3 (-2,1) Rotate 270⁰ CW Reflect over y-axis Down “7” Right “4” Rotate 90⁰ CW Problem #1 (-3,8) Rotate 180⁰ Reflect over y-axis Up “6” Right “7” Problem #4 (10,-13) Left “7” Up “9” Reflect over x-axis Rotate 90⁰ CCW Reflect over y-axis Problem #2 (4,-7) Rotate 90⁰ CCW Reflect over x-axis Down “11” Left “12”

17 Problem #1 (-3,8) Rotate 180⁰ Reflect over y-axis Up “6” Right “7”

18 Problem #2 (4,-7) Rotate 90⁰ CCW Reflect over x-axis Down “11” Left “12”

19 Problem #3 (-2,1) Rotate 270⁰ CW Reflect over y-axis Down “7” Right “4” Rotate 90⁰ CW

20 Problem #4 (10,-13) Left “7” Up “9” Reflect over x-axis Rotate 90⁰ CCW Reflect over y-axis

21 Review

22 90° 180° 270° Rotation Spin (y,x) (x,y) (x,y) (y,x) Counter Clockwise Clockwise

23 Reflection Flip (x,y) Over the x-axis Over the y-axis (x,y)

24 Up (y +n) Left (x -n) Right (x +n) Translation Slide Down (y -n)

25

Download ppt "Rotation Reflection Translation."

Similar presentations

Math 10F Transformational Geometry Examples. Translations Translations are “slides” Described by a length and direction Eg. translate the following shape.

Math 10F Transformational Geometry Examples. Translations Translations are “slides” Described by a length and direction Eg. translate the following shape.
Warm up Write the rule for translating left 4 units and up 6 units.

Warm up Write the rule for translating left 4 units and up 6 units.
MURRIO. Our game manufacturers are designing a 9 hole golf course based on the mathematical principles of transformations, but we need your help putting.

MURRIO. Our game manufacturers are designing a 9 hole golf course based on the mathematical principles of transformations, but we need your help putting.
Transformations and the Coordinate Plane. (+,+) (+,-) (-,-) (-,+) I III IV II Do you remember the QUADRANTS? Do you remember the SIGNS for each Quadrant?

Transformations and the Coordinate Plane. (+,+) (+,-) (-,-) (-,+) I III IV II Do you remember the QUADRANTS? Do you remember the SIGNS for each Quadrant?
Warm up 1.A function is even. Point A(-3, 4) is on the even function. Name another point. 2.A function is even. Point B(9, 2) is on the even function.

Warm up 1.A function is even. Point A(-3, 4) is on the even function. Name another point. 2.A function is even. Point B(9, 2) is on the even function.
W arm UP 3-25-13 Translate (x – 9, y + 8) 1.B (-9, 12) 2.A (-12, -4) 3.T (22, -19) B’ (-18, 20) A’ (-21, 4) T’ (13, -11)

W arm UP Translate (x – 9, y + 8) 1.B (-9, 12) 2.A (-12, -4) 3.T (22, -19) B’ (-18, 20) A’ (-21, 4) T’ (13, -11)
Objective: Given a starting location, SWBAT apply multiple translations, reflections and rotations to find Waldo’s location. Where’s Waldo?

Objective: Given a starting location, SWBAT apply multiple translations, reflections and rotations to find Waldo’s location. Where’s Waldo?
X y (x,y) x - coordinate y - coordinate. How are coordinates helpful?

X y (x,y) x - coordinate y - coordinate. How are coordinates helpful?
Lesson 9.3 - Rotations Standard G.2.4.

Lesson Rotations Standard G.2.4.
7.1 – Multiplying Monomials. x · x = x 1 · x 1 =

7.1 – Multiplying Monomials. x · x = x 1 · x 1 =
Unit 9: Vectors, Matrices and Transformations

Unit 9: Vectors, Matrices and Transformations
Geometry Never, never, never give up. Winston Churchill Today:  9.4 Instruction  Practice.

Geometry Never, never, never give up. Winston Churchill Today:  9.4 Instruction  Practice.
Created by Barbara Fugitt Vocabulary Transformations Sketches $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

Created by Barbara Fugitt Vocabulary Transformations Sketches $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.
Reflections 30 Reflect across y=x (x,y)  (y,x) Reflect across x-axis (x,y)  (x,-y) Reflect across y-axis (x,y)  (-x,y) Reflect across y=x Reflect across.

Reflections 30 Reflect across y=x (x,y)  (y,x) Reflect across x-axis (x,y)  (x,-y) Reflect across y-axis (x,y)  (-x,y) Reflect across y=x Reflect across.
9-2 Reflections. Key Concepts: R stands for reflection and the Subscript tells you what to reflect on (ex: R x-axis) The “line of reflection” is what.

9-2 Reflections. Key Concepts: R stands for reflection and the Subscript tells you what to reflect on (ex: R x-axis) The “line of reflection” is what.
If TRANSLATION:SLIDING What is REFLECTION? flipping.

If TRANSLATION:SLIDING What is REFLECTION? flipping.
Lesson 11.4 Translations and Reflections

Lesson 11.4 Translations and Reflections
Geometry Lesson 6.2B – Reflections and Rotations

Geometry Lesson 6.2B – Reflections and Rotations
3-1 Symmetry and Coordinate Graphs Pre Calc A. Point Symmetry Symmetric about the origin: any point in Quadrant I has a point in Quadrant III (rotate.

3-1 Symmetry and Coordinate Graphs Pre Calc A. Point Symmetry Symmetric about the origin: any point in Quadrant I has a point in Quadrant III (rotate.
Transformations Day 1: Graphing. Vocabulary Transformations – mapping of a figure on the coordinate plane. 1) Reflection: Mirror image x-axis (x,y) →(x,-y)

Transformations Day 1: Graphing. Vocabulary Transformations – mapping of a figure on the coordinate plane. 1) Reflection: Mirror image x-axis (x,y) →(x,-y)

Similar presentations

Ads by Google