Question

what is the construction that needs to be done to make a copy of ∠bac? 2 points 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. 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 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 straight - edge, construct a straight line from point p that intersects with the arc to find the vertex of the angle.

Explanation:

Step1: Recall angle - copying construction

To copy an angle $\angle BAC$, we first use a compass to measure the distance from the intersection of the arc with the two rays of $\angle BAC$. Here, we measure the length of the arc from the point where the arc intersects ray $AB$ (say $B$) to the point where the arc intersects ray $AC$ (say $C$).

Step2: Re - create the arc length at the new location

Then, with the same compass - setting (i.e., the distance measured in Step 1), we place the pointed end of the compass on point $Q$ and draw a small arc that intersects the larger arc above point $P$.

Answer:

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 $P$.