Question

geometry basics geometry basics unit test what is the construction that needs to be done to make a copy of ∠bac? (1 point) 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 straight - edge, construct a horizontal line from point p that intersects with the arc to find the middle of the angle. 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 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

Explanation:

Step1: Recall angle - copying construction

To copy an angle $\angle BAC$, we first draw an arc with center $A$ that intersects the sides of the angle at two points (say $B$ and $C$). Then, at the new vertex (point $Q$ in this case), we draw a similar - sized arc. The key step is to measure the distance between the two intersection points ($B$ and $C$) on the original angle with a compass and then transfer that distance to the new arc.

Step2: Analyze options

The correct way to copy $\angle BAC$ is to use a compass to measure the length from point $B$ to point $C$. Then, place the pointed end of the compass on point $Q$ and draw a small arc that intersects the larger arc above point $P$. This step ensures that the two angles will be congruent based on the SSS (Side - Side - Side) congruence criterion for triangles formed during the construction process.

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 $P$.