According to the partial construction shown, what is the next step in constructing a line parallel to a given line? Place compass at C and, with compass set to segment AB, draw an arc that intersects line PA. Place compass at P and, with compass set to segment AB, draw an arc that intersects line PA. Use straightedge to draw a segment connecting P and C. Use straightedge to draw a segment connecting B and C.
Accepted Solution
A:
Answer:Place compass at P and, with compass set to segment AB, draw an arc that intersects line PA ⇒ 2nd answerStep-by-step explanation:"I have added screenshot of the complete question as well as the diagram"* Lets revise how to construct a parallel line to a given line1. Using your straightedge, draw a transversal through point P This is simply a straight line which passes through P and intersects with the given line2. Using the construction COPY AN ANGLE, construct a copy of the angle formed by the transversal and the given line such that the vertex of the copied angle will be point P3. Draw an arc centered at A and intersecting the given line and the transversal at B and C.4. Draw an arc of the same distance centered at P intersecting the transversal at C'5. Use the compass to measure the distance from B to C, and with the compass centered at C' scribe an arc whose radius is the distance from B to C intersecting the arc from Step 4 at B'.6. Draw the line from P through B' which is the parallel line to the given line* Now lets solve the problem- The next step in constructing a line parallel to a given line is Place compass at P and, with compass set to segment AB, draw an arc that intersects line PA.