Question

A student was given lines m and n and was asked to construct a line parallel to n through point B. The illustration shows the initial condition and the student’s partially finished construction. All of the arcs in the illustration were constructed with the compass set at the same setting. Which step should the student perform next to complete the construction?
A. Construct an arc with center E crossing the other arc with center B.
B. Construct an arc with center C crossing the arc with center B.
C. Reset the compass to the distance BE.
D. Reset the compass to the distance CD.

Answer 1

Answer:

Reset the compass to CD is the correct anwser

Step-by-step explanation:

Answer 2

Parallel lines are simply lines that do not meet.

The step the student should perform next is (d)  Reset the compass to CD

The steps in drawing a parallel line through a point, involves copying an angle from its original position to the parallel line that is to be drawn.

From the given figure, the angle to be copied is $\angle DAC$.

The student must set the compass at the endpoints of arc DC to get the measure of $\angle DAC$.

The endpoints of arc DC are points D and C

Hence, the next step to be taken by the student is option (c).

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