This document discusses vectors and translations. It defines a translation as sliding every point the same distance, which is an isometry that preserves length and angle measure. A translation theorem states that a translation is an isometry, where corresponding figures are congruent. A vector is defined as having both direction and magnitude, and can be represented by its horizontal and vertical components.

1. 9.1 Vectors
HW pg. 576 #4­28 evens
February 02, 2015
9.1 Translation using Vectors
Image: new figure
Preimage: original figure
Translation: slides every point the same distance

2. 9.1 Vectors
HW pg. 576 #4­28 evens
February 02, 2015
Isometry: transformation that preserves length & angle
measure
(congruence transformation)

3. 9.1 Vectors
HW pg. 576 #4­28 evens
February 02, 2015
F
G
Initial (starting)
Point: F
Terminal (ending)
Point: G
vertical component
horizontal component
Translation Theorem: A translation is an isometry.
A
B
C
A'
B'
C'
ABC ≅ A'B'C'
Vector: a quantity that has both direction and magnitude (size)
Component Form: horizontal & vertical components 5,2
Vector FG: FG

4. 9.1 Vectors
HW pg. 576 #4­28 evens
February 02, 2015

5. 9.1 Vectors
HW pg. 576 #4­28 evens
February 02, 2015

6. 9.1 Vectors
HW pg. 576 #4­28 evens
February 02, 2015
HW pg. 576 #4­28 evens