Question

figure pqrs is transformed to figure jklm. complete the following statements about the transformation shown. $overline{lm}$ corresponds to and $angle j$ corresponds to figure pqrs is to figure jklm. figure jklm is to figure pqrs using the rule

Explanation:

Step1: Identify corresponding sides

By observing the two figures, we can see that $\overline{LM}$ corresponds to $\overline{SR}$ as they are in the same relative position in the two - shaped figures.

Step2: Identify corresponding angles

$\angle J$ corresponds to $\angle P$ as they are in the same relative position in the two figures.

Step3: Determine the transformation type

Figure $PQRS$ is translated to figure $JKLM$. We can see that every point of figure $PQRS$ has been moved the same distance in the same direction to get figure $JKLM$.

Step4: Find the translation rule

To get from figure $JKLM$ to figure $PQRS$, we move 5 units to the right and 0 units vertically. The translation rule is $(x,y)\to(x + 5,y)$.

Answer:

$\overline{LM}$ corresponds to $\overline{SR}$; $\angle J$ corresponds to $\angle P$; Figure $PQRS$ is translated to figure $JKLM$; Figure $JKLM$ is translated to figure $PQRS$ using the rule $(x,y)\to(x + 5,y)$