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

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.

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

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

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

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

EX 2: In the diagram, name each vector and write its component form B)

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)

Mastery on L2 and L3 GEOM IXL L2 AND L3