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1.7: Motion in the Coordinate Plane Expectation: G3.1.1: Define reflection, rotation, translation, and glide reflection and find the image of a figure.

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Presentation on theme: "1.7: Motion in the Coordinate Plane Expectation: G3.1.1: Define reflection, rotation, translation, and glide reflection and find the image of a figure."— Presentation transcript:

1 1.7: Motion in the Coordinate Plane Expectation: G3.1.1: Define reflection, rotation, translation, and glide reflection and find the image of a figure under a given isometry.

2 1/15/ : Motion in the Coordinate Plane Anatomy of the Coordinate Grid. x-axis y-axis origin

3 1/15/ : Motion in the Coordinate Plane Anatomy of the Coordinate Grid. quadrant i quadrant ii quadrant iii quadrant iv

4 1/15/ : Motion in the Coordinate Plane Transformations in the Coordinate Grid Transformation notation: T(x,y) = …

5 1/15/ : Motion in the Coordinate Plane Compete worksheet 1.7: Motion in the Coordinate Plane

6 1/15/ : Motion in the Coordinate Plane Translations Horizontal Slides of h units: T(x,y) = (______, ____) Vertical Slides of k units: T(x,y) = (_______, _______)

7 1/15/ : Motion in the Coordinate Plane Translations Translation h units horizontally and k units vertically: T(x,y) = (______, _______)

8 1/15/ : Motion in the Coordinate Plane Reflections Over the x-axis: T(x,y) = (____, ____) Over the y-axis: T(x,y) = (____, ____)

9 1/15/ : Motion in the Coordinate Plane Rotations 180° centered at the origin: T(x,y) = (____, ____)

10 A triangle ΔABD is reflected across the y-axis to have the image ΔABDin the standard (x, y) coordinate plane: thus A reflects to A. The coordinates of point A are (m,n). What are the coordinates of point A? A. (-m, n) B. m, -n) C. -m, -n) D. (n, m) E. Cannot be determined from the given information. 1/15/ : Motion in the Coordinate Plane

11 1/15/ : Motion in the Coordinate Plane Assignment: pages , # 8 – 30 (evens), 32 – 49, 54, 55.


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