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Answer:

Place the point of the compass on point Q and draw an arc that intersects the first arc, using the same width for the opening of the compass as the first arc.

Step-by-step explanation:

She is constructing an equilateral triangle.  This means that all 3 sides must be congruent.  She has drawn an arc by placing her compass on point P and setting it to the width of segment PQ.  This arc passes through point Q.

In order to ensure that the sides are congruent, she must keep her compass the same width.  She will now go to the opposite end of the segment, point Q, and construct an arc that runs through point P.  The goal is to intersect her first arc at a point that will serve as the third vertex of the triangle.

The next step in constructing an equilateral triangle after drawing the line segment and the first arc is;

Option B; Place the point of the compass on point Q and draw an arc that intersects the first arc using the same width for the opening of the compass as the first arc.

To answer this question, we will enumerate all the steps required to construct an equilateral triangle.

Step 1; Construct a line segment PQ to serve as the length of the side of the equilateral triangle and label the 2 endpoints P and Q.

Step 2; Place one leg of the compass at point P and with the other leg at point Q, swing an arc above line PQ

Step 3; Without Changing the width of the compass, place the first leg at point Q and with the second leg now at point P, swing another arc to intersect the first arc.

Step 4; Label the point of intersection R and draw a straight line from P to R and from Q to R to complete the equilateral triangle.

Looking at the given options, the one that tallies with step 3 which is the next step for the question is Option B.

Read more at; https://brainly.com/question/13159957

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