Question
What is the construction that needs to be done to make a copy of LBAC?
(1 point)
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.
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 straight edge, construct a horizontal line from
• point 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.
(1 point)
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.
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 straight edge, construct a horizontal line from
• point 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.
Answers
GPT-4o mini
To construct a copy of line segment LBAC using a compass and straightedge based on your description, let's break down the construction into clear steps:
1. **Measure Length**: Start by using a compass to measure the length of the line segment \( AC \). This is your reference length.
2. **Draw First Arc**: While keeping the same compass width (the length \( AC \)), place the pointed end of the compass on point \( Q \) (which is any point where you want to draw your copy) and draw an arc above the line.
3. **Measure the Length Again**: Next, use the compass again to measure the length of line segment \( BC \).
4. **Draw Second Arc**: Again using the same compass width, place the pointed end on point \( Q \) and draw a second arc that intersects the previous arc, giving you two intersection points above point \( P \).
5. **Construct Horizontal Line**: Using a straightedge, draw a horizontal line from point \( P \) to intersect the arc you created in step 4. This can help you establish the relationship between the angles and segments.
6. **Final Measurement**: Finally, measure the distance from point \( Q \) to point \( B \). Keep your compass set to this width and place the pointed end on point \( Q \) again, drawing a small arc that intersects the previously created arc above point \( P \).
By following these steps, you should be able to construct a copy of the line segment LBAC accurately. Ensure that at each step, you are measuring carefully and drawing the arcs and lines precisely for an accurate copy.
1. **Measure Length**: Start by using a compass to measure the length of the line segment \( AC \). This is your reference length.
2. **Draw First Arc**: While keeping the same compass width (the length \( AC \)), place the pointed end of the compass on point \( Q \) (which is any point where you want to draw your copy) and draw an arc above the line.
3. **Measure the Length Again**: Next, use the compass again to measure the length of line segment \( BC \).
4. **Draw Second Arc**: Again using the same compass width, place the pointed end on point \( Q \) and draw a second arc that intersects the previous arc, giving you two intersection points above point \( P \).
5. **Construct Horizontal Line**: Using a straightedge, draw a horizontal line from point \( P \) to intersect the arc you created in step 4. This can help you establish the relationship between the angles and segments.
6. **Final Measurement**: Finally, measure the distance from point \( Q \) to point \( B \). Keep your compass set to this width and place the pointed end on point \( Q \) again, drawing a small arc that intersects the previously created arc above point \( P \).
By following these steps, you should be able to construct a copy of the line segment LBAC accurately. Ensure that at each step, you are measuring carefully and drawing the arcs and lines precisely for an accurate copy.