Use the image to answer the question.

Question

An illustration shows angle Q A L. Ray A B P Q and ray A C L extend from vertex A. An arc intersects both rays, connecting B and C. Another arc intersects Q.

What is the construction that needs to be done to make a copy of ∠BAC
?

(1 point)
Responses which answer is 100 percent correct and why

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 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 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
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
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 .
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Answer 1

To make a copy of ∠BAC using the construction method described, we want to focus on measuring the angle and replicating it at another vertex (point Q in this case).

The correct response would involve measuring the angle ∠BAC and then transferring that measurement to point Q. Specifically, here are the correct and succinct steps that should be followed:

1. Using a compass, measure the length from point B to point C. This accurately captures the size of the angle ∠BAC.

2. 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 will create two intersection points (let's call them P and another point where the arc intersects) that will allow you to replicate the angle.

This method ensures that not only the angle's measurement is replicated, but the actual points are placed accurately based on the original angle ∠BAC.

So, the best response would be:

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.

This approach is correct because it directly states the need to copy the angle's measurement and how to execute this at point Q by using a compass to create corresponding arcs, thus ensuring an accurate replication of the angle.