This document discusses different types of geometric transformations, including translations, reflections, and rotations. It provides examples of how to describe each transformation using coordinate notation. Translations move every point by a fixed change in x- and y-coordinates. Reflections create mirror images of figures about the x- or y-axis by changing the sign of one coordinate. Rotations turn figures around a fixed center point by a specified angle in either a clockwise or counterclockwise direction. The document concludes by assigning homework problems from the textbook.

1. 4.8 Transformations
October 28, 2013
Bellwork
Find the value of x.
x = 8
x = 3
3. If the measure of vertex angle of an isosceles triangle is 112°,
what are the measures of the base angles?
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HW pg. 276 #4­22 evens, 26­28
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2. 4.8 Transformations
October 28, 2013
4.8 Congruence Transformations
Transformation: operation that moves or changes a figure
Image: the new figure
Translation: moves figure the same distance in same direction
Translation:
slides
Reflection: creates a mirror image of original figure
reflects
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Rotation:
Rotation: turns a figure around the center of rotation (fixed point)
rotates
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HW pg. 276 #4­22 evens, 26­28
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3. 4.8 Transformations
October 28, 2013
Coordinate Notation for Translations
Translations
Original
(x,y)
Image
(x+a, y+b)
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HW pg. 276 #4­22 evens, 26­28
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4. 4.8 Transformations
October 28, 2013
Coordinate Notation of Reflections
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Around the x-axis
Original
Image
(x, y)
(x, -y)
Around the y-axis
Image
Original
(-x, y)
(x, y)
Nov 1­10:43 AM
HW pg. 276 #4­22 evens, 26­28
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5. 4.8 Transformations
October 28, 2013
Rotation
Coordinate Notation for a Rotation
Angle of Rotation: rays drawn
from center of rotation to figures
Clockwise
Counterclockwise
60
90
Nov 1­10:50 AM
HW pg. 276 #4­22 evens, 26­28
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6. 4.8 Transformations
October 28, 2013
Nov 1­1:01 PM
HW pg. 276 #4­22 evens, 26­28
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7. 4.8 Transformations
October 28, 2013
HW pg.276 4-22 evens, 26-28
Nov 1­1:03 PM
HW pg. 276 #4­22 evens, 26­28
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