Use the image to answer the question.

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

𝐵
𝐴
𝐶
?

(1 point)
Responses

Using a compass, measure the length from point B
𝐵
to point C
𝐶
. Then, make another arc by placing the pointed end of the compass on point Q
𝑄
and draw a small arc that intersects with the larger arc above point P
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
𝐴
to point C
𝐶
. Then, make another arc by placing the pointed end of the compass on point Q
𝑄
and draw a small arc that intersects with the larger arc above point P
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 straight edge, construct a horizontal line from point P
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
𝑄
to point B
𝐵
. Then, make another arc by placing the pointed end of the compass on point Q
𝑄
and draw a small arc that intersects with the larger arc above point P
𝑃
.

1 answer

To construct a copy of ∠BAC, the correct steps involve using a compass to measure and replicate the angle. The first option correctly describes how to measure the length from point B to point C and then replicate that measurement at a new point Q.

Here's the answer broken down:

  • 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 process typically involves:

  1. Measuring the angle at A by setting the compass width to the distance between points B and C.
  2. Placing the compass point on Q to recreate the angle at that new location.

The other options either describe incorrect measurements or use wording that is inconsistent (like "upper B" instead of B), making them more confusing or inaccurate. Therefore, the first option mentioned is the most fitting for the construction required.