Answer to Question #239971 in Analytic Geometry for Heav

Question

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

Answer 1

The translation vector is:

$T = X2 - X1 = (5-4, - 1-1) = (1, - 2).\\$

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

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

Answer:

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