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Math Help - Geometry(Transformations:Translations)

  1. #1
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    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,
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  2. #2
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    Quote Originally Posted by Nikkipoo View Post
    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).
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