Question

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

A) The first arc should pass through C.
B) The first arc should pass centered at C.
C) The second arc should be centered at C.
D) The second arc should cross the first arc.
E)  The second arc should be centered at F.

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