What is the construction that needs to be done to make a copy of ∠BAC ? (1 point) Responses Using a straight edge, construct a horizontal line from point P 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 distance from point Q to point B . 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 . Using a compass, measure the distance from point upper Q to point upper B . 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 compass, measure the length from point A 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 . Using a compass, measure the length from point upper A 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 compass, measure the length 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 .

1 answer

To make a copy of ∠BAC accurately, the following construction steps would typically be used:

  1. Draw a Ray: Start by drawing a ray from the point where you want to replicate the angle (point Q).

  2. Mark a Point: Place point Q on the ray you just created.

  3. Measure the Angle: Using a compass, place the pointed end on point A (the vertex of the original angle) and measure the distance to point B.

  4. Make an Arc: With the same compass setting, place the pointed end on point Q and draw an arc across the new ray to set a reference for measuring the angle.

  5. Locate Intersections: Now, without changing the compass width, go back to point A, place the pointed end there, and draw another arc that intersects the previously drawn arc. Mark this intersection as point X.

  6. Measure the Second Side of the Angle: Now, measure the distance from point A to point C (the other side of the angle).

  7. Copy the Second Arc: Keeping the compass at the same width, place its pointed end on point X and draw another arc that intersects the previous arc you drew from point Q.

  8. Draw the Second Ray: Finally, draw a line through point Q and the intersection point of the arcs to complete the construction of the angle ∠Q.

This method accurately constructs a copy of ∠BAC at point Q. The key elements are correctly measuring distances and creating arcs to establish the angle's equivalent measurements on the new ray.

The responses you've provided seem to have some variations in wording but generally convey similar steps. However, none of the options listed seem completely clear or specific enough to be chosen confidently as correct steps for copying the angle. Would you like to clarify any particular steps or provide additional context?