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

Question

(1 point)
Responses

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 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 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 which line segment is the angle bisector of ∠PQR, we need to understand the definition of an angle bisector. The angle bisector of an angle divides it into two equal angles.

• If line segment AC is dividing ∠PQR into two equal angles, then it is the angle bisector.
• If line segment BR is doing the same, then it is the angle bisector.
• Similarly, if QC is dividing it equally, it would be the angle bisector.

Without the image to analyze which segments are actually dividing ∠PQR equally into two parts, I cannot definitively state which line segment is the angle bisector.

In general terms based on given responses:

• If you find that line segment AC divides the angle evenly, then the correct answer would be "Line segment AC is the angle bisector of ∠PQR."
• If line segment BR does so, then "Line segment BR is the angle bisector of ∠PQR."
• If line segment QC does so, then "Line segment QC is the angle bisector of ∠PQR."
• QP would not be the angle bisector unless it equally divides the angle, which would be less common.

Please use visual evidence or guidelines on how the angles relate to determine the correct answer.