# Geometry(Transformations:Translations)

• Sep 10th 2006, 01:16 PM
Nikkipoo
Geometry(Transformations:Translations)
Question:

On Graph paper, draw triangle A,B,C with vectices A(2,5) , B(3,1) and C(4,3). Translate triangle ABC Using the vector T=(4/3). Denote this image A1B1C1.
then translate triangle A1B1C1, Using the vector, T=(-2/-5). Denote this new image A2B2C2. State the vertices of triangles A1B1C1 and A2B2C2.Give the vectors describing the translations which map:

(a) triangle ABC to triangle A2B2C2
(b) triangle A2B2C2 to triangle ABC
(c) triangle A2B2C2 to triangle A1B1C1

Please note that in (eg.) A1B1C1, the number 1 is supposed to be small and to the right corner of letter similar to a letter and comma...eg 3, or A,
• Sep 10th 2006, 06:34 PM
JakeD
Quote:

Originally Posted by Nikkipoo
Question:

On Graph paper, draw triangle A,B,C with vectices A(2,5) , B(3,1) and C(4,3). Translate triangle ABC Using the vector T=(4/3). Denote this image A1B1C1.
then translate triangle A1B1C1, Using the vector, T=(-2/-5). Denote this new image A2B2C2. State the vertices of triangles A1B1C1 and A2B2C2.Give the vectors describing the translations which map:

(a) triangle ABC to triangle A2B2C2
(b) triangle A2B2C2 to triangle ABC
(c) triangle A2B2C2 to triangle A1B1C1

Please note that in (eg.) A1B1C1, the number 1 is supposed to be small and to the right corner of letter similar to a letter and comma...eg 3, or A,

To translate a triangle, add each component of the T vector to each component of the vertices of the triangle. So translating one vertex A1(6,8) = A(2,5)+T(4,3) = (2+4,5+3).

To get the vector that translates from one triangle to another, substract matching vertices of the triangles (the reverse or inverse of adding). So T(-4,-3) = A(2,5) - A1(6,8) is the translation vector that maps A1(6,8) to A(2,5).