Question

What needs to be corrected in this construction of a line parallel to AB passing through C?

Answer 1

The answer would be C, as it is the only line that if it crosses though Line C it is not touching AB therefore meets the definition of being parallel to it. All other answers are touching AB and not running parallel to it.

Answer 2

Answer;

C) The second arc should be centered at C.

Explanation;

Assuming the goal is to construct a line parallel to AB that passes through given point C.

-Draw a line through C and across AB at an angle creating D.

- With the compass width about half of DC, and center D, draw the first arc to cross both lines.

-Using the same compass width , draw the second arc with center C.

-Then set the compass width to the lower arc (the first arc)

- Move the compass to the second arc. Mark off an arc to make point E

-Draw a straight line through C and E

Thus the line CE will be parallel to line AB