1.7: Motion in the Coordinate Plane Expectation: G3.1.1: Define reflection, rotation, translation,...
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Transcript of 1.7: Motion in the Coordinate Plane Expectation: G3.1.1: Define reflection, rotation, translation,...
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.
04/10/231.7: Motion in the Coordinate
Plane
Anatomy of the Coordinate Grid.
x-axis
y-axis
origin
04/10/231.7: Motion in the Coordinate
Plane
Anatomy of the Coordinate Grid.
quadrant iquadrant ii
quadrant iii
quadrant iv
04/10/231.7: Motion in the Coordinate
Plane
Transformations in the Coordinate Grid
Transformation notation:T(x,y) = …
04/10/231.7: Motion in the Coordinate
Plane
Compete worksheet
1.7: Motion in the Coordinate Plane
04/10/231.7: Motion in the Coordinate
Plane
TranslationsHorizontal Slides of h units:
T(x,y) = (______, ____)
Vertical Slides of k units:T(x,y) = (_______, _______)
04/10/231.7: Motion in the Coordinate
Plane
Translations
Translation h units horizontally and k units vertically:
T(x,y) = (______, _______)
04/10/231.7: Motion in the Coordinate
Plane
Reflections
Over the x-axis: T(x,y) = (____, ____)
Over the y-axis: T(x,y) = (____, ____)
04/10/231.7: Motion in the Coordinate
Plane
Rotations
180° centered at the origin:T(x,y) = (____, ____)
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’?
A. (-m, n)B. m, -n)C. -m, -n)D. (n, m)E. Cannot be determined from the given
information.
04/10/231.7: Motion in the Coordinate
Plane
04/10/231.7: Motion in the Coordinate
Plane
Assignment:
pages 64 - 67,
# 8 – 30 (evens), 32 – 49, 54, 55.