Question

Referring to the figure, match the translation of quadrilateral ABCD to quadrilateral A'B'C'D' by using the vector (0,1) a. A'(6,1), B'(2,1), C'(1,-2), D'(-3,-2) b. A'(-5,-1), B'(-1,-1), C'(-2,-4), D'(-6,-4) c. A'(-4,3), B'(0,3), C'(-1,0), D'(-5,0) d. A'(-4,0), B'(1,0), C'(0,-3), D'(-4,-3)

Answer 1

To translate the quadrilateral using the given vector, we will add the vector coordinates to the coordinates of the vertices of the shape.

The vertices of ABCD have the following coordinates:

$\begin{gathered} A\to(-4,2) \\ B\to(0,2) \\ C\to(-1,-1) \\ D\to(-5,-1) \end{gathered}$

If we add the vector (0, 1) to the vertices, we have:

$\begin{gathered} A^{\prime}\to(-4,2+1)=(-4,3) \\ B^{\prime}\to(0,2+1)=(0,3) \\ C^{\prime}\to(-1,-1+1)=(-1,0) \\ D^{\prime}\to(-5,-1+1)=(-5,0) \end{gathered}$

Therefore, the correct option is OPTION C.