# 1.7: Motion in the Coordinate Plane - PowerPoint PPT Presentation

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## 1.7: Motion in the Coordinate Plane

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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 ... – PowerPoint PPT presentation

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Title: 1.7: Motion in the Coordinate Plane

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
Anatomy of the Coordinate Grid.
3
Anatomy of the Coordinate Grid.
4
Transformations in the Coordinate Grid
Transformation notation T(x,y)
5
• Compete worksheet
• 1.7 Motion in the Coordinate Plane

6
Translations
• Horizontal Slides of h units
• T(x,y) (______, ____)

Vertical Slides of k units T(x,y) (_______,
_______)
7
Translations
• Translation h units horizontally and k units
vertically
• T(x,y) (______, _______)

8
Reflections
• Over the x-axis T(x,y) (____, ____)

Over the y-axis T(x,y) (____, ____)
9
Rotations
• 180 centered at the origin T(x,y) (____,
____)

10
• A triangle ?ABD is reflected across the y-axis to
have the image ?ABDin 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.

11
• Assignment
• pages 64 - 67,
• 8 30 (evens), 32 49, 54, 55.