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The steps below describe the construction of line AG, which is parallel to segment PQ and passes through point A above PQ:

In the next step an arc is drawn from point F, which intersects the arc through F in point G. What statement is true for this step?

The width of the compass is equal to BE.

The width of the compass is equal to AE.

The width of the compass is equal to DE.

The width of the compass is equal to A F.

The steps below describe the construction of line AG which is parallel to segment PQ and passes through point A above PQIn the next step an arc is drawn from po class=

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Answer:

The width of the compass is equal to DE.

Step-by-step explanation:

The true statement for this step C; The width of the compass is equal to DE.

What are the steps to construction?

The steps to construct the AG parallel line to PQ, passing through the point A outside of PQ are as follows;

Step 1 A line is drawn from point A to intersect PQ at point B.

Step 2 From the point B on PQ, an arc is drawn intersecting segment BQ of PQ at  D and segment BA at point E.

Step 3 In order to construct the angle equal to angle ∠DBE at point A, an arc is drawn from Point A with radius BD, that intersects the segment BA extended in point F.

The points A and G can be joined with a straight line and extended to form the line AG.

The correct option is C;

The width of the compass is adjusted to DE.

Learn more about constructing a parallel line here

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