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Use the image to answer the question.

Three lines diverge from vertex point upper Q. Points marked on the ends of the top and bottom lines are labeled upper P and upper R, respectively. A point marked on the right side of the middle line is labeled upper C.

Laci constructed ∠PQR 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 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 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 QP¯¯¯¯¯¯¯¯ s the angle bisector of ∠PQR.

1 answer

To determine which line segment is the angle bisector of ∠PQR, we need to understand that an angle bisector is a line segment that divides an angle into two equal parts.

In the given question, the correct answer would depend on the specifics of how the points are positioned relative to each other and the geometric properties involved. However, since I cannot see the image you are referring to, I can't make a visual assessment.

Generally, the angle bisector of an angle formed by two lines (in this context, lines connecting point Q to points P and R) will be the line segment that divides the angle ∠PQR into two equal angles.

From the provided options, I would assume:

  • If line segment QC divides the angle formed by segments QP and QR, then it would be the angle bisector.
  • If line segment BR does so, then it is the angle bisector.
  • Likewise for AC if it divides the angle appropriately.

Since you did not provide exact spatial configurations, I recommend selecting the line segment based on that visual cue or the property that it divides the angle into two equal parts.

For the final choice based solely on what a standard geometric description would entail, line segment QC would typically be the angle bisector of ∠PQR if it's positioned correctly. If your image suggests otherwise, consider that context.

Feel free to share additional details or the arrangement, and I can help clarify further.