Answer to Question #239971 in Analytic Geometry for Heav

Question #239971

In the coordinate plane the point X(4,1)is translated to the point X(5,-1) under the same translation the points Y(2,5)and Z(0,3) are translated to Y and Z. What are the coordinates of Y and Z


1
Expert's answer
2021-09-22T00:46:12-0400

The translation vector is:

T=X2X1=(54,11)=(1,2).T = X2 - X1 = (5-4, - 1-1) = (1, - 2).\\

To obtain now points one should add this vector to the initial points:

Y2=Y1+T=(2+1,52)=(3,3)Z2=Z1+T=(0+1,32)=(1,1)Y2 = Y1 + T = (2 + 1, 5 - 2) = (3,3)\\ Z2 = Z1 + T = (0+1, 3-2) = (1, 1)\\

Answer:

(3,3),(1,1)(3,3), (1,1)

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