SOLUTION: Consider the triangle defined by P=(1,3), Q=(2,5, and R=(6,5). The transformation defined by T(x,y)=(x+2,y-1) is mathematical notation for translating a point by the vector [2,-1]

Algebra ->  Algebra  -> Triangles -> SOLUTION: Consider the triangle defined by P=(1,3), Q=(2,5, and R=(6,5). The transformation defined by T(x,y)=(x+2,y-1) is mathematical notation for translating a point by the vector [2,-1]      Log On

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Question 146953: Consider the triangle defined by P=(1,3), Q=(2,5, and R=(6,5). The transformation defined by T(x,y)=(x+2,y-1) is mathematical notation for translating a point by the vector [2,-1]. The point P(1,3) becomes T(1,3)=(1=2,3-1)=P'(3,2). Find Q' and R'. Graph both the original triangle and its image.
Answer by psbhowmick(489) About Me  (Show Source):
You can put this solution on YOUR website!
The point Q(2,5) becomes T(2,5)=(2+2, 5-1) = Q'(4,4).
The point R(6,5) becomes T(6,5)=(6+2, 5-1) =R'(8,4).

In the graph, the red triangle shows the initial position and green shows the final position.
drawing%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0A++grid%28+1+%29%2C++%0D%0A++red%28triangle%28+1%2C+3%2C+2%2C+5%2C+6%2C+5+%29%29%2C%0D%0A++locate%28+1%2C+3%2C+P+%29%2C+locate%28+2%2C+5%2C+Q+%29%2C+locate%28+6%2C+5%2C+R+%29%2C%0D%0A++green%28triangle%28+3%2C+2%2C+4%2C+4%2C+8%2C+4+%29%29%2C+%0D%0A++locate%28+3%2C+2%2C+P1+%29%2C+locate%28+4%2C+4%2C+Q1+%29%2C+locate%28+8%2C+4%2C+R1+%29%0D%0A++%29