Section 17.1: Translations

Objective(s): By following instructions, students will be able to: Draw the image of a figure under a translation

Def: A vector is a quantity that has both direction and magnitude. Def: Initial point of a vector is the starting point. Def: Terminal point of a vector is the ending point.

Translation It is convenient to describe translations using vectors. A translation is a transformation along a vector such that the segment joining a point and its image has the same length as the vector and is parallel to the vector. For example, BB' is a line segment that is the same length as and is parallel to vector v .

explain 1A

explain 1B

Your-Turn #1

explain 2A Preimage coordinates: (−2, 1) , (−3, -2) , and (−1, −2) . Vector: 〈4, 6〉

explain 2B Preimage coordinates: A(3, 0) , B(2, -2) , and C(4, −2) . Vector: 〈-2, 3〉

Your-Turn #2 Draw the preimage and image of each triangle under a translation along 〈-4, 1〉. Triangle with coordinates A(2,4), B(1,2), and C(4,2).

explain 3A

explain 3B

Revisit Objective(s): Did we... Draw the image of a figure under a translation?

HW: Sec 17.1 pg 668 #s 1-10, 12-17