If is the image of by reflection in the point ,
where cm, cm, , and , find the length of and the value of .
Step 1: Find the length of .
A reflection transforms a figure into a congruent figure with
equal side lengths.
Write an equation to show that the length of is
equal to the length of , and solve for the value of
Then, substitute the value of to find the length of
Step 2: Find the value of .
A reflection transforms a line segment into a congruent line
segment of equal length that is parallel to the original line
Therefore, and are alternate interior
angles of a line intersecting two parallel lines and are equal in
Write an equation to show that , and
solve for the value of .