Question

Constructing Angles Quick Check 5 of 55 of 5 Items Question Use the image to answer the 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 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 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 . Skip to navigation page 13 of 13 Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.

Answer 1

To determine which line segment is the angle bisector of ∠PQR in the image described, we need to identify which line segment splits the angle ∠PQR into two equal angles.

Without visual access to the image, a general guideline can be provided:

1. Angle bisector: An angle bisector divides an angle into two equal angles.
2. Identifying the angle bisector:
   • Check each line segment listed in the responses to see which one appears to split ∠PQR into two equal parts.
   • The line segment that starts at point Q and is positioned between points P and R is likely the angle bisector.

Based on typical geometric notation and nomenclature:

• QP is a segment that connects point Q to point P.
• QC connects Q to C.
• BR connects B to R.
• AC connects A to C.

In cases where you know which vertices represent angle P, Q, and R:

• If line segment QC divides ∠PQR into two equal angles, then Line segment QC is the angle bisector of ∠PQR.

If there's no indication that any segment other than QC (or one from a specific point to a line connecting the other two points) serves as a bisector, then you would choose QC as the response.

If the image indicates a specific segment as being the angle bisector, please select that one. Otherwise, consider stating:

• Line segment QC is the angle bisector of ∠PQR.