Question

EspandIn the coordinate plane, the point A (4, 0) is translated to the point A'(0, 5). Under the same translation, the pointsB(0, -4) and C(6,-3) are translated to B' and C', respectively. What are the coordinates of B' and C'?

Answer 1

A(4, 0) is translated to the point A'(0, 5). Then:

$\begin{gathered} \Delta x=X_{A^{\prime}}-X_A=0-4_{}=-4 \\ \Delta y=Y_{A^{\prime}}-Y_A=5-0=5 \\ \text{For B(0, -4), B' is } \\ B^{\prime}(0-4,\text{ -4+5)=B'(-4, 1)} \\ \text{For C(6, -3):} \\ C^{\prime}(6-4,\text{ -3+5)=C'(2, 2)} \end{gathered}$