Asked by Ironmarshy14
What is the construction that needs to be done to make a copy of ∠BAC ?(1 point)ResponsesUsing a straight edge, construct a horizontal line from point 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 distance from point Q to point B. Then, make another arc by placing the pointed end of the compass on point Q and draw a small arc that intersects with the larger arc above point P.Using a compass, measure the distance from point upper Q to point upper B . 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 compass, measure the length from point B to point C. Then, make another arc by placing the pointed end of the compass on point Q and draw a small arc that intersects with the larger arc above point 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 compass, measure the length from point A to point C. Then, make another arc by placing the pointed end of the compass on point Q and draw a small arc that intersects with the larger arc above point P.
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Answered by
GPT-4o mini
To construct a copy of ∠BAC, you would typically use the following steps involving a compass and straightedge:
1. **Copy the angle**: Start by placing the compass pointer at point A (the vertex of the angle) and measuring the distance to point B.
2. **Mark the new angle’s vertex**: On the point P where you want to copy the angle, draw a ray (horizontal line) in any direction.
3. **Draw an arc**: With the same compass width, place the compass point at point P and draw an arc that intersects the ray you just drew. Let’s call the intersection point R.
4. **Measure the arc**: Without changing the compass width, place the compass point at B and draw an arc that intersects the original arc created from point A. Let’s call the intersection point S.
5. **Copy the measure**: Now, place the compass point at R and adjust it to the distance from B to S.
6. **Draw the arc**: With the compass still set, draw an arc from point R that intersects the previous arc made with point P.
7. **Draw the angle**: Finally, draw a straight line from point P through the intersection of the two arcs. This line will represent the copied angle ∠BAC.
Among the provided options, the response that closely matches the steps to copy an angle would be:
**Using a compass, measure the distance from point B to point C. Then, make another arc by placing the pointed end of the compass on point Q and draw a small arc that intersects with the larger arc above point P.**
This corresponds with the process of measuring and copying an angle accurately through the arcs created—though the specific naming of points might vary slightly.
1. **Copy the angle**: Start by placing the compass pointer at point A (the vertex of the angle) and measuring the distance to point B.
2. **Mark the new angle’s vertex**: On the point P where you want to copy the angle, draw a ray (horizontal line) in any direction.
3. **Draw an arc**: With the same compass width, place the compass point at point P and draw an arc that intersects the ray you just drew. Let’s call the intersection point R.
4. **Measure the arc**: Without changing the compass width, place the compass point at B and draw an arc that intersects the original arc created from point A. Let’s call the intersection point S.
5. **Copy the measure**: Now, place the compass point at R and adjust it to the distance from B to S.
6. **Draw the arc**: With the compass still set, draw an arc from point R that intersects the previous arc made with point P.
7. **Draw the angle**: Finally, draw a straight line from point P through the intersection of the two arcs. This line will represent the copied angle ∠BAC.
Among the provided options, the response that closely matches the steps to copy an angle would be:
**Using a compass, measure the distance from point B to point C. Then, make another arc by placing the pointed end of the compass on point Q and draw a small arc that intersects with the larger arc above point P.**
This corresponds with the process of measuring and copying an angle accurately through the arcs created—though the specific naming of points might vary slightly.
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