1. 7.4 Translations and vectors
OBJECTIVES:
To find translation images of figures
To use vectors in real-life situations
BIG IDEAS: Transformations and Coordinate Geometry
ESSENTIAL UNDERSTANDING:
The distance between any two points, angle measures, and orientation of a geometric figure remain the same when the figure is translated in one direction
MATHEMATICAL PRACTICE:
Look for and make use of structure
7.4 Translations and vectors

2. Translation
Translation : a transformation that maps all points of a figure the same distance in the same direction with the following properties: 1. 2. 3.

3. Translation rule
Translations in a coordinate plane can be described by the following coordinate notation:
Horizontal shift: positive moves right and negative moves left
Vertical shift: positive moves up and negative moves down

4. EX 1: Sketch the parallelogram with the vertices
EX 1: Sketch the parallelogram with the vertices. Then sketch the image after the translation. A)

5. EX 1: Sketch the parallelogram with the vertices
EX 1: Sketch the parallelogram with the vertices. Then sketch the image after the translation B)

6. Vectors
Vector: a quantity that has both _______________ and _______________, and is represented by an __________ drawn between two points  
Initial point of a vector: the _______________ point of a vector
Terminal point of a vector: the _______________ point of a vector
Component form: the form of a vector that combines the _______________ and _______________ components of the vector

7. EX 2: In the diagram, name each vector and write its component formB)

8. EX 3: Sketch the quadrilateral with the vertices
EX 3: Sketch the quadrilateral with the vertices. Then sketch the image after the translation using the component form A)

9. Mastery on L2 and L3
GEOM IXL L2 AND L3