Laci constructed ∠PQR

Question

with line segments QC¯¯¯¯¯¯¯¯
, AC¯¯¯¯¯¯¯¯
, and BC¯¯¯¯¯¯¯¯
, as shown in the image. Which line segment is the angle bisector of ∠PQR
?

(1 point)
Responses

Line segment AC¯¯¯¯¯¯¯¯
is the angle bisector of ∠PQR
.
Line segment Modifying above upper A upper C with bar is the angle bisector of angle upper P upper Q upper R .

Line segment BR¯¯¯¯¯¯¯¯
is the angle bisector of ∠PQR
.
Line segment Modifying above upper B upper R with bar is the angle bisector of angle upper P upper Q upper R .

Line segment QC¯¯¯¯¯¯¯¯
is the angle bisector of ∠PQR
.
Line segment Modifying above upper Q upper C with bar is the angle bisector of angle upper P upper Q upper R .

Line segment QP¯¯¯¯¯¯¯¯
s the angle bisector of ∠PQR
.

Answer 1

To determine the angle bisector of $\mathrm{\angle }PQR$, it is essential to identify which line segment divides the angle into two equal parts.

1. Line segment $AC$: If $AC$ divides $\mathrm{\angle }PQR$ equally, then it is the angle bisector.
2. Line segment $BR$: Similarly, if $BR$ divides $\mathrm{\angle }PQR$ equally, it is the angle bisector.
3. Line segment $QC$: If $QC$ divides $\mathrm{\angle }PQR$ equally, then it is the angle bisector.
4. Line segment $QP$: This line segment cannot be an angle bisector as it is one of the rays forming the angle.

Without an image to analyze further relationships or configuration among the segments, I recommend considering the properties of the segments based on their description within the context of the angle.

If you have specific information on how these segments relate to one another concerning $\mathrm{\angle }PQR$ (such as points of intersection, lengths, or proportions), that information could lead to identifying the correct angle bisector.

If I had to choose based on common angle constructions, I would suggest checking if either $AC$ or $BR$ is the angle bisector, making a conclusion based on their configurations. If you could provide more context or descriptions of their relationships, I could give a more definitive answer.