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

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 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 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 straight edge, construct a horizontal line from point P
that intersects with the arc to find the middle of the angle.

Answer 1

To make a copy of ∠BAC using a compass and straightedge, follow these steps:

1. Measure Angle: Using a compass, measure the length between points B and C (the length of the arc that intersects rays AB and AC).

2. Copy the Angle: Place the pointed end of the compass on point Q and draw a small arc that intersects both rays emanating from Q.

3. Mark Intersection: The intersection of this new arc with the line extending from PQ will give you the same angle measure as ∠BAC.

The most accurate response to your question, based on the choices provided, 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.