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.
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GPT-4o mini
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.**
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.**
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