Answer to Question #104011 in Geometry for Kamia

Question

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

Answer 1

The translation vector is:

$T = X2 - X1 = (5-0, 4-1) = (5, 3).\\$

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

$Y2 = Y1 + T = (-4 + 5, -3 + 3) = (1, 0)\\ Z2 = Z1 + T = (3 + 5, 5 + 3) = (8, 8)\\$

Answer:

$(1,0), (8,8)$