Question

Below is the beginning of the construction of a line parallel to the y-axis through point P. What is the next step of this construction?

A. Measure the distance from the intersection of the transversal to point P.

B. Place the compass on the point of intersection and mark an arc through the transversal and y-axis.

C. Draw another transversal.

D. Connect the arc intersections using a straight edge.

Thanks!

Answer 1

B. Place the compass on the point of intersection and mark an arc through the transversal and y-axis

Explanation:

Creating a parallel line through a point involves copying the angle a transversal makes with the given line. The copied angle has the given point as its vertex, and the transversal as one side.

Copying an angle uses the steps of ...

• draw an arc through the sides of the given angle
• draw an arc with the same radius centered at the new vertex
• ...

The step this question is referring to is the first bullet above. The given angle is the angle between the transversal and the y-axis.