Question

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 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 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 QP¯¯¯¯¯¯¯¯
s the angle bisector of ∠PQR
.pick one

Answer 1

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

Generally, without the image, we can't definitively say which line segment is the angle bisector. However, in typical constructions:

- **Segment AC** often connects the vertex of an angle to a point on the opposite side, whereas
- **Segment QC** could potentially split the angle into two equal parts if point C lies on line segment PR.

If one of the choices were to suggest that segment QC is the angle bisector and it connects point Q to point C (which lies on line PR), it could be the correct answer assuming C lies on the line created by points P and R.

Given the options you provided, if segment QC is indeed positioned such that it bisects ∠PQR, select:

**Line segment QC¯¯¯¯¯¯¯¯ is the angle bisector of ∠PQR.**

If other options demonstrate the characteristics of angle bisectors (dividing the angle into two equal angles), then they could be valid as well. Ensure you review the positioning of the points in relation to the angle to make the final decision.