This document contains notes from a math lesson on translating figures on a coordinate plane. It includes examples of translating points according to given rules, such as (x, y) (x + 2, y - 7). Key aspects discussed are: 1) Translations involve sliding a figure across the plane; 2) The x-coordinate changes with horizontal translation and y-coordinate with vertical; 3) A translated figure maintains its shape and size. Students practiced translating points and figures using mapping rules and vector notations.

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Do Now: Explain how to
graph a point on the
coordinate plane.
Module 8.2 Lesson 3
Day 2
Translating Lines
Supplemental Practice
Page 28

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6.
Extra Practice

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7.
Extra Practice
8.

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Extra Practice
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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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S.23
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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S.24

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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)
SMART Document Camera
A` (-4,-2), B` (-3,1), C` (-6-1,)

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

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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-3,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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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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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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Closing Activity
Explain your procedure for translating a figure
based on a mapping rule such as
(x, y) (x + 4, y - 5)

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