Question

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


A and B endpoints of line segment is intersected at point D with a transversal. D as center, arc 1 is drawn above intersecting transversal at point E, and at point F on the segment. E as center, arc 2 is drawn intersecting the transversal at point C.

A.

The first arc should pass through C.

B.

The first arc should be 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 option that needs to be corrected in this construction of a line parallel to line AB passing through C is C: the second arc should be centered at C.

Why should the second arc be centered at C?

The second arc should be centered at C because as it crosses passing through Line C, it is seen that it was not touching or intersecting AB and so one can say that it is parallel to it.

Looking at the other lines, we will see that they are all touching AB and are not running parallel to it.

Hence, The option that needs to be corrected in this construction of a line parallel to line AB passing through C is C: the second arc should be centered at C.

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