Question

select the correct answer.
based on the construction shown, what is the next step in the process of constructing parallel line ( \boldsymbol{cd} )?

options:
a. using the same compass width that created the first arc, repeat the arc centered at point ( b ).
b. set the compass width to be where the arc intersects lines ( ec ) and ( eb ).
c. set the compass width to the distance between point ( e ) and where the arc crosses line ( ab ).
d. using the same compass width that created the first arc, repeat the arc centered at point ( c ).

Explanation:

To construct parallel line CD to AB using the corresponding angles method, after drawing the first arc centered at E intersecting EB and EC, the next step is to measure the distance between the two intersection points of this arc with EB and EC. This width is used to transfer the angle to create a corresponding angle for the parallel line.

Answer:

B. Set the compass width to be where the arc intersects lines EC and EB.