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3. following the steps below, what is the next step in constructing an …

Question

  1. following the steps below, what is the next step in constructing an equilateral triangle? 1. start with the line segment ab, which will be the length of each of the sides of the desired equilateral triangle. 2. place the point of the compass on point a and set its drawing end on point b. make an arc from point b up through where we expect the other point of our triangle to be. 3. now place the compass point on point b, and the drawing side on point a, and draw another arc. the spot where the two arcs intersect will be the triangles last point. 4. ? using the straight - edge, draw a line from k to where the arcs cross. without changing the compasss width, repeat from the point b so that the two arcs cross each other, creating the point a. from b, mark off a short arc above a. well label the last point as point p. now set up your ruler, and connect each point to draw your triangle.

Explanation:

Step1: Analyze construction steps

We are constructing an equilateral triangle. After setting compass on A and making an arc from B, next step is to repeat the arc - making process from B with same compass width to find intersection point.

Step2: Identify the correct step

The step of repeating from point B without changing compass width to create an intersection point (point A in the description) is the next logical step in constructing an equilateral triangle.

Answer:

Without changing the compass's width, repeat from the point B so that the two arcs cross each other, creating the point A.