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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 under a given isometry.

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**Anatomy of the Coordinate Grid.**

x-axis y-axis origin 3/25/2017 1.7: Motion in the Coordinate Plane

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**Anatomy of the Coordinate Grid.**

quadrant i quadrant ii quadrant iii quadrant iv 3/25/2017 1.7: Motion in the Coordinate Plane

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**Transformations in the Coordinate Grid**

Transformation notation: T(x,y) = … 3/25/2017 1.7: Motion in the Coordinate Plane

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**1.7: Motion in the Coordinate Plane**

Compete worksheet 1.7: Motion in the Coordinate Plane 3/25/2017 1.7: Motion in the Coordinate Plane

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**1.7: Motion in the Coordinate Plane**

Translations Horizontal Slides of h units: T(x,y) = (______, ____) Vertical Slides of k units: T(x,y) = (_______, _______) 3/25/2017 1.7: Motion in the Coordinate Plane

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**1.7: Motion in the Coordinate Plane**

Translations Translation h units horizontally and k units vertically: T(x,y) = (______, _______) 3/25/2017 1.7: Motion in the Coordinate Plane

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**1.7: Motion in the Coordinate Plane**

Reflections Over the x-axis: T(x,y) = (____, ____) Over the y-axis: T(x,y) = (____, ____) 3/25/2017 1.7: Motion in the Coordinate Plane

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**1.7: Motion in the Coordinate Plane**

Rotations 180° centered at the origin: T(x,y) = (____, ____) 3/25/2017 1.7: Motion in the Coordinate Plane

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**1.7: Motion in the Coordinate Plane**

A triangle ΔABD is reflected across the y-axis to have the image ΔA’B’D’in 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’? (-m, n) m, -n) -m, -n) (n, m) Cannot be determined from the given information. 3/25/2017 1.7: Motion in the Coordinate Plane

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**1.7: Motion in the Coordinate Plane**

Assignment: pages , # 8 – 30 (evens), 32 – 49, 54, 55. 3/25/2017 1.7: Motion in the Coordinate Plane

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Objective: Students will be able to represent translations, dilations, reflections and rotations with matrices.

Objective: Students will be able to represent translations, dilations, reflections and rotations with matrices.

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