What is the construction that needs to be done to make a copy of āˆ BAC āˆ  šµ š“ š¶ ? (1 point) Responses Using a compass, measure the length from point B šµ to point C š¶ . Then, make another arc by placing the pointed end of the compass on point Q š‘„ and draw a small arc that intersects with the larger arc above point P š‘ƒ . Using a compass, measure the length from point upper B to point upper C . Then, make another arc by placing the pointed end of the compass on point upper Q and draw a small arc that intersects with the larger arc above point upper P . Using a straight edge, construct a horizontal line from point P š‘ƒ that intersects with the arc to find the middle of the angle. Using a straight edge, construct a horizontal line from point upper P that intersects with the arc to find the middle of the angle. Using a compass, measure the length from point A š“ to point C š¶ . Then, make another arc by placing the pointed end of the compass on

1 answer

To construct a copy of the angle āˆ BAC using a compass and straightedge, follow these steps:

  1. Draw a Base Line: Start by drawing a horizontal line (let's call it line PQ).

  2. Mark Point P: Place point P on that line where you want the vertex of the new angle to be located.

  3. Copy Angle Using Compass:

    • Using your compass, measure the length of segment BC (from point B to point C) in angle āˆ BAC.
    • With the compass still set to that length, place the pointed end on point P and draw an arc across line PQ and above.
  4. Mark the Arc Intersection: Mark the point where the arc intersects line PQ as point R.

  5. Find the Length for Point Q: Now, keeping your compass at the same width, place the pointed end on point A (the original vertex of angle BAC) and draw an arc in the same way to capture the angle's opening.

  6. Intersect the Arcs: Finally, using the same compass width (the distance between B and C), place the compass on point R (the intersection you marked above) and draw a second arc that intersects with the first arc drawn above point P (let's name that intersection point S).

  7. Complete the Angle: Draw a straight line from point P through point S. This will create an angle āˆ PQR that is congruent toāˆ BAC.

By following these steps, you will successfully construct a copy of the angle āˆ BAC at the new location on point P.