Question

identify the coordinates of the image under the translation along the given vector. 11. quadrilateral wxyz with vertices w(1,2), x(2, 7), y(4, 5), and z(6, 1): ⟨-7,-8⟩

Explanation:

Step1: Add x - component of vector

For point \(W(1,2)\), \(1+( - 7)=-6\).
For point \(X(2,7)\), \(2+( - 7)=-5\).
For point \(Y(4,5)\), \(4+( - 7)=-3\).
For point \(Z(6,1)\), \(6+( - 7)=-1\).

Step2: Add y - component of vector

For point \(W\), \(2+( - 8)=-6\).
For point \(X\), \(7+( - 8)=-1\).
For point \(Y\), \(5+( - 8)=-3\).
For point \(Z\), \(1+( - 8)=-7\).

Answer:

\(W'(-6,-6)\)
\(X'(-5,-1)\)
\(Y'(-3,-3)\)
\(Z'(-1,-7)\)