Question

triangle abc is translated 8 units to the left and 5 units down. the result is △abc, as shown below. (a) the arrows below show that the coordinates on the left are mapped to the coordinates on the right. fill in the blanks to give the coordinates after the translation. original coordinates → final coordinates

Explanation:

Step1: Recall translation rule

For a translation 8 units to the left and 5 units down, the rule for a point $(x,y)$ is $(x - 8,y - 5)$.

Step2: Assume a point's coordinates

Let's assume a point $P(x,y)$ in $\triangle ABC$. After translation, its new - coordinates $P'(x',y')$ where $x'=x - 8$ and $y'=y - 5$.

Answer:

The general rule for the translation of a point $(x,y)$ to $(x - 8,y - 5)$ can be used to find the original and final coordinates of the vertices of the triangle. For example, if a vertex of $\triangle ABC$ has coordinates $(x,y)$, its corresponding vertex in $\triangle A'B'C'$ has coordinates $(x - 8,y - 5)$.