Copyright © Ed2Net Learning Inc.1

2 Warm Up x y y = 3x - 11) x y y = x - 62)

Copyright © Ed2Net Learning Inc.3 Rotate the triangle 90 clockwise around (0,0). 3) Warm Up

Copyright © Ed2Net Learning Inc.4 4) A pattern of horizontal and vertical lines, usually forming squares is called a ____. 5) The second number always represents the _________. Warm Up

Copyright © Ed2Net Learning Inc.5 Grid – A pattern of horizontal and vertical lines, usually forming squares. Coordinate System – Made up of horizontal and vertical number line that intersect at zero point. The point of intersection is called the origin. The first number always represents the x coordinate. The second number always represents the y coordinate. Lets review what we have learned in the last lesson

Copyright © Ed2Net Learning Inc.6 Definition Coordinates – An ordered pair of numbers that give the location of a point on a grid. (3, 4) (3,4)

Copyright © Ed2Net Learning Inc.7 Four Quadrants of Coordinate System When the number lines are extended into the negative number lines you add 3 more quadrants to the coordinate grid y x Quadrant 1Quadrant 2 Quadrant 3 Quadrant 4

Copyright © Ed2Net Learning Inc.8 IMAGE : The new position of a point, a line, a line segment, or a figure after a transformation is called its image. Let’s get started Image is congruent and letters in the same direction

Copyright © Ed2Net Learning Inc.9 Slide is a transformation in which every point of the plane figure moves in the same direction by the same distance. A slide is also called as translation. SLIDE slide A C B A’ C’B’

Copyright © Ed2Net Learning Inc.10 The translation of an object is called its image. A translation moves an object without changing its size or shape and without turning it or flipping it. The original object and its translation have the same shape and size, and they face in the same direction. Translation means moving the image horizontally (along the x axis) or vertically (along the y axis). Translation

Copyright © Ed2Net Learning Inc.11 Example Polygon ABCDE as sliding two inches to the right and one inch down. Its new position is labeled A'B'C'D'E'.

Copyright © Ed2Net Learning Inc.12 Example. The Original car and the translation car has different size. So this is not a translation.

Copyright © Ed2Net Learning Inc.13 Notation for Translation Definition: A translation (notation ) is a transformation of the plane that slides every point of a figure the same distance in the same direction. T a, b (x,y) = (x+a, y+b)

Copyright © Ed2Net Learning Inc.14 Properties of Translation Lengths of segments are the same Angle measures remain the same Parallel lines remain parallel Points stay on the same lines Midpoints remain the same in each figure Orientation (lettering order remains the same)

Copyright © Ed2Net Learning Inc.15 Translations in the Coordinate Plane

Copyright © Ed2Net Learning Inc.16 Your Turn 1)The new position of a figure is called _______. 2)Slides is called as ________. 3) The original object and its translation have the same _______ and ________. 4) Translation means moving the image _________ or ___________. 5) Write the notation for translation.

Copyright © Ed2Net Learning Inc.17 Your Turn 6) Under the translation (x, y)  (x +3, y+2) the point (2,5) will become ________? 7) _________ is a transformation. 8) In translation, orientation remains ______. 9) Is this translation ? [Write yes or No]  10) _______ is congruent and letters in the same direction.

Copyright © Ed2Net Learning Inc.18 Refreshment Time

Copyright © Ed2Net Learning Inc.19 Lets play a Game

Copyright © Ed2Net Learning Inc.20 1) Graph and label the translation of triangle ABC under translation T 5, -4

Copyright © Ed2Net Learning Inc.21 2) Describe the translation about the following graph.

Copyright © Ed2Net Learning Inc.22 3) Describe the translation that will move rectangle ABCD onto rectangle A'B'C'D'.

Copyright © Ed2Net Learning Inc.23 Lets review what we have learned in our lesson Image: The new position of a point, a line, a line segment, or a figure after a transformation is called its image. Slide: Slide is a transformation in which every point of the plane figure moves in the same direction by the same distance. A slide is also called as translation. Translation: A translation "slides" an object a fixed distance in a given direction. The original object and its translation have the same shape and size, and they face in the same direction.

Copyright © Ed2Net Learning Inc.24 Example Each vertex moves the same distance in the same direction

Copyright © Ed2Net Learning Inc.25 Translation Notation T a, b (x,y) = (x+a, y+b) Translation means moving the image horizontally (along the x axis) or vertically (along the y axis). Example: 7 units to the left and 3 units down. (x, y )  ( x – 7, y-3)

Copyright © Ed2Net Learning Inc.26 You did great in your lesson today ! Be sure to practice and keep up the good work