se 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 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 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 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
.

1 answer

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

In geometric notation:

  • If we think about the configuration, we see that point Q is the vertex of the angle ∠PQR.
  • The angle bisector of ∠PQR would typically be a line that starts at point Q and divides the angle between lines QP (the top line) and QR (the bottom line) evenly.

Out of the given line segments:

  1. QP
  2. QC
  3. BR
  4. AC

Line segment QC could reasonably be the angle bisector if it is positioned correctly between the two angle arms PQ and QR. However, without the actual image, we cannot ascertain which line segment represents the angle bisector accurately.

If you had mentioned any additional information regarding the orientation or the relative positions of points P and R with respect to point C, I could assist further. But based on typical configurations, a segment like QC often is chosen in these situations, assuming it is drawn between the two arms at point Q.

For clarity, based on typical geometric principles and without any specifics from an image: Line segment QC is likely the angle bisector of ∠PQR.