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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.

2 Answers

4 votes

Answer:

place compass at P and, with compass set to segment AB, draw an arc that intersects line PA.

Explanation:

User PatrickSCLin
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4.8k points
4 votes

Answer:

Place compass at P and, with compass set to segment AB, draw an arc that intersects line PA ⇒ 2nd answer

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 line

1. Using your straightedge, draw a transversal through point P

This is simply a straight line which passes through P and intersects

with the given line

2. 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 P

3. 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.

According to the partial construction shown, what is the next step in constructing-example-1
User Morels
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5.5k points