This document contains notes from a lesson on translations in geometry. It includes examples of translating points on a coordinate plane by adding or subtracting values from the x- and y-coordinates. The notes describe how only the x-coordinate changes for horizontal translations, while only the y-coordinate changes for vertical translations. Key aspects of translations are summarized, such as slides across the plane preserving size and shape but changing location. Homework problems and exercises are assigned from textbooks.

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Do Now:
Module 8.2 Lesson 3
Day 2
Translating Lines
HW
pg 27-28 # 1 & 2
Evaluate the following
expression.
(2 - 5)3 - 2 + 10

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Homework pgs 21­22 # 6­10

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EVERY POINT on the figure
undergoes the SAME transformation
Description = a verbal expression
Describe each translation using words like
units, up, down, left, and right.
pg 23

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Do Now

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Question 1:
If a point on the coordinate plane moves horizontally, which
coordinate changes? The x or y coordinate?
Question 2 :
If a point on the coordinate plane moves vertically, which
coordinate changes? The x or y coordinate?

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Mapping Translation
(x,y) (x+2, y-7)
Example 1: What is the image of the points in figure
ABC (x,y) (x-7,y-3) ?
A (3,1), B (4,4), C (1,2)
Example 2: What is the images of the points
in figure ABC (x,y) (x+4,y+1)?
A (-3,-1), B (-4,-4), C (-1,-2)
S.25
ex)
A`(-4,-2),B`(-3,1),C`(-6,-1)
A`(1,0),B`(0,-3),C`(3,-1)

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Mapping Translation
(x,y) (x+2, y-7)
Example 3: What is the images of the points
in figure EFG (x,y) (x+4,y+1)?
E (-3,-1), F (-4,-4), G (-1,-2)
S.25
ex)
E`(-6,0),F`(-7,-3),G`(-4,-1)

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Notation Translation
T(2,-3)
For the following examples, use the following coordinate points to
translate figure ABC.
A (-1,6) B (2,4) C (-3,-2)
Example 1: T(2,3) Example 2: T(1,-4)
pg 26

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T(2,-3)
(x,y) (x + 2, y 3)

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Important Aspects of a Translation:
1. A translation occurs when a figure slides across a coordinate plane.
2. If a figure is translated horizontally (left or right) the x coordinate
changes.
3. If a figure is translated vertically (up or down) the y coordinate
changes.
4. A translated figure will never change in size or shape but only in its
location.

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