To construct a copy of ∠BAC, you would typically use the following steps involving a compass and straightedge:
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Copy the angle: Start by placing the compass pointer at point A (the vertex of the angle) and measuring the distance to point B.
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Mark the new angle’s vertex: On the point P where you want to copy the angle, draw a ray (horizontal line) in any direction.
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Draw an arc: With the same compass width, place the compass point at point P and draw an arc that intersects the ray you just drew. Let’s call the intersection point R.
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Measure the arc: Without changing the compass width, place the compass point at B and draw an arc that intersects the original arc created from point A. Let’s call the intersection point S.
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Copy the measure: Now, place the compass point at R and adjust it to the distance from B to S.
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Draw the arc: With the compass still set, draw an arc from point R that intersects the previous arc made with point P.
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Draw the angle: Finally, draw a straight line from point P through the intersection of the two arcs. This line will represent the copied angle ∠BAC.
Among the provided options, the response that closely matches the steps to copy an angle would be:
Using a compass, measure the distance from point B to point C. Then, make another arc by placing the pointed end of the compass on point Q and draw a small arc that intersects with the larger arc above point P.
This corresponds with the process of measuring and copying an angle accurately through the arcs created—though the specific naming of points might vary slightly.