Question

the steps below describe the construction of a line ag which is parallel to segment pq and passes through a point a outside of pq: in the next step the width of the compass is adjusted to de. which statement is true? (5 points) point g is obtained by using the same compass width and drawing an arc from point e, intersecting the arc drawn from a. point g is obtained by using the same compass width and drawing an arc from point b, intersecting the arc drawn from a. point g is obtained by using the same compass width and drawing an arc from point d, intersecting the arc drawn from a. point g is obtained by using the same compass width and drawing an arc from point f, intersecting the arc drawn from a.

Explanation:

This is about constructing a parallel line using the copy of an angle method. After setting the compass width to $DE$, we need to draw an arc from point $F$ (the intersection of the arc from $A$ and the line through $A$) to intersect the arc drawn from $A$, which gives point $G$. This ensures the corresponding angles are congruent, making $AG \parallel PQ$.

Answer:

D. Point G is obtained by using the same compass width and drawing an arc from point F, intersecting the arc drawn from A.