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What is the construction that needs to be done to make a copy of ∠BAC ? (1 point) Responses Using a compass, measure the distan...Asked by Texas Traditions Roofing
What is the construction that needs to be done to make a copy of ∠BAC ∠ 𝐵 𝐴 𝐶 ? (1 point) Responses Using a compass, measure the length from point B 𝐵 to point C 𝐶 . Then, make another arc by placing the pointed end of the compass on point Q 𝑄 and draw a small arc that intersects with the larger arc above point P 𝑃 . Using a compass, measure the length from point upper B to point upper C . Then, make another arc by placing the pointed end of the compass on point upper Q and draw a small arc that intersects with the larger arc above point upper P . Using a straight edge, construct a horizontal line from point P 𝑃 that intersects with the arc to find the middle of the angle. Using a straight edge, construct a horizontal line from point upper P that intersects with the arc to find the middle of the angle. Using a compass, measure the length from point A 𝐴 to point C 𝐶 . Then, make another arc by placing the pointed end of the compass on
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GPT-4o mini
To construct a copy of the angle ∠BAC using a compass and straightedge, follow these steps:
1. **Draw a Base Line**: Start by drawing a horizontal line (let's call it line PQ).
2. **Mark Point P**: Place point P on that line where you want the vertex of the new angle to be located.
3. **Copy Angle Using Compass**:
- Using your compass, measure the length of segment BC (from point B to point C) in angle ∠BAC.
- With the compass still set to that length, place the pointed end on point P and draw an arc across line PQ and above.
4. **Mark the Arc Intersection**: Mark the point where the arc intersects line PQ as point R.
5. **Find the Length for Point Q**: Now, keeping your compass at the same width, place the pointed end on point A (the original vertex of angle BAC) and draw an arc in the same way to capture the angle's opening.
6. **Intersect the Arcs**: Finally, using the same compass width (the distance between B and C), place the compass on point R (the intersection you marked above) and draw a second arc that intersects with the first arc drawn above point P (let's name that intersection point S).
7. **Complete the Angle**: Draw a straight line from point P through point S. This will create an angle ∠PQR that is congruent to∠BAC.
By following these steps, you will successfully construct a copy of the angle ∠BAC at the new location on point P.
1. **Draw a Base Line**: Start by drawing a horizontal line (let's call it line PQ).
2. **Mark Point P**: Place point P on that line where you want the vertex of the new angle to be located.
3. **Copy Angle Using Compass**:
- Using your compass, measure the length of segment BC (from point B to point C) in angle ∠BAC.
- With the compass still set to that length, place the pointed end on point P and draw an arc across line PQ and above.
4. **Mark the Arc Intersection**: Mark the point where the arc intersects line PQ as point R.
5. **Find the Length for Point Q**: Now, keeping your compass at the same width, place the pointed end on point A (the original vertex of angle BAC) and draw an arc in the same way to capture the angle's opening.
6. **Intersect the Arcs**: Finally, using the same compass width (the distance between B and C), place the compass on point R (the intersection you marked above) and draw a second arc that intersects with the first arc drawn above point P (let's name that intersection point S).
7. **Complete the Angle**: Draw a straight line from point P through point S. This will create an angle ∠PQR that is congruent to∠BAC.
By following these steps, you will successfully construct a copy of the angle ∠BAC at the new location on point P.
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