The table presents a relation.
\Write the ordered pairs.
\\
Ordered pairs are and
.
Graph:
\Plot the ordered pairs.
\Then reverse the -coordinate and the
-coordinate in each ordered pair.
Reversed ordered pairs are and
.
Graph:
\Plot the ordered pairs.
\Find the relationship between the two sets of ordered pairs:
\Graph:
\Plot the ordered pairs and reversed ordered pairs
\Graph the line .
Observe the graph:
\Each point in the original relation is the same distance from the line as the corresponding point of the reverse relation.
\The points are symmetric about the line .
Ordered pairs are and
.
Reversed ordered pairs are and
.
Relationship between the two sets of ordered pairs
\The points are symmetric about the line .