Question

1/3 to translate quadrilateral abcd by 1 unit to the right and 4 units up, we basically translate quadrilateral abcds vertices and connect them. 2/3 for example, point b(-4,3) is translated to (-3,7).

Explanation:

Step1: Recall translation rule

For a translation of 1 unit to the right and 4 units up, the rule for a point $(x,y)$ is $(x + 1,y+4)$.

Step2: Generalize for all vertices

If we have vertices of quadrilateral $ABCD$ with coordinates $(x_i,y_i)$ for $i = A,B,C,D$, the new - coordinates $(x_i',y_i')$ after translation are given by $x_i'=x_i + 1$ and $y_i'=y_i + 4$.

Answer:

To translate any vertex $(x,y)$ of quadrilateral $ABCD$, use the transformation $(x,y)\to(x + 1,y + 4)$.