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

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

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

5. 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

6. 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

7. 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

8. 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

9. 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

10. 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

11. 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