Video Transcript
True or False: The line between 𝐹
and 𝐵 is parallel to the ray from 𝐶 through 𝐸.
In this question, we want to
determine if a given line and ray are parallel by using a given figure. To do this, we can start by
highlighting the line and ray in the question on the diagram as shown. We can then note that the line
between 𝐴 and 𝐷 is a transversal of these two lines and the corresponding angles
of the transversal are both congruent since they have the same measure. They both measure 55 degrees.
We can then recall that if the
corresponding angles of a transversal of a pair of lines are congruent, then the
lines themselves are parallel. So the answer must be true. The line between 𝐹 and 𝐵 is
parallel to the ray from 𝐶 through 𝐸.
