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9.1 Translations using Vectors

February 11, 2014

9.1 Translation using Vectors
Image: new figure
Preimage: original figure
Translation: slides every point the same distance

Jan 24­7:24 AM

HW pg. 576 #4­28 even

1
9.1 Translations using Vectors

February 11, 2014

Isometry: transformation that preserves length & angle 
measure
(congruence transformation)

Jan 24­7:41 AM

HW pg. 576 #4­28 even

2
9.1 Translations using Vectors

February 11, 2014

Translation Theorem: A translation is an isometry. 
B'
B

A

ABC ≅      A'B'C'

C'

A'

C

Vector: a quantity that has both direction and magnitude (size)

Vector FG: FG
G

Terminal (ending) 
Point: G

Initial (starting)
Point: F
F

vertical component

horizontal component

Component Form: horizontal & vertical components  5,2

Jan 25­1:44 PM

HW pg. 576 #4­28 even

3
9.1 Translations using Vectors

February 11, 2014

Jan 25­1:54 PM

HW pg. 576 #4­28 even

4
9.1 Translations using Vectors

February 11, 2014

Jan 25­2:02 PM

HW pg. 576 #4­28 even

5
9.1 Translations using Vectors

February 11, 2014

HW pg. 576 #4­28 evens

Jan 25­2:05 PM

HW pg. 576 #4­28 even

6

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