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

Answer 1

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

Normally, we would need to see the figure you mentioned. However, if we analyze the names of the line segments given in your responses:

• QC
• QP
• BR
• AC

We can hypothesize a few things:

• If line segment QC extend from Q towards C and splits the angle PQR in two equal angles, then it can be an angle bisector.
• If line segment QP (or PQ) is extending from Q to P and does the same, it can also be considered.
• Line segment BR could also be a candidate if it begins at B and extends towards R in a way that it splits the angle evenly.
• Line segment AC would similarly have the same consideration.

If you know that QC or QP (which are segments originating from Q) visibly divides the angle PQR into two equal angles, that could identify which one is the bisector.

From the context of typical angle constructions:

• If it looks like QC is making two equal angles at point Q, then line segment QC is the angle bisector of ∠PQR.
• If QP or QP is already known to be the one doing the bisecting, then you would select that one.

Without visual confirmation, it’s hard to give a definitive answer, so use this reasoning approach with the visual aid to identify the correct bisector.