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

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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

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Translations

Translation h units horizontally and k units vertically:

T(x,y) = (______, _______)

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Reflections

Over the x-axis: T(x,y) = (____, ____)

Over the y-axis: T(x,y) = (____, ____)

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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.