Question
What is the construction that needs to be done to make a copy of ∠BAC
?
(1 point)
Responses
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 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 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
.
?
(1 point)
Responses
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 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 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
.
Answers
GPT-4o mini
To construct a copy of angle ∠BAC, the correct steps generally involve performing the following steps:
1. **Copy the angle's vertex and one side**: Start by marking the vertex point Q (to be your new vertex) on the horizontal line.
2. **Using a compass**: Measure the distance from point A to B (which represents one side of your angle).
3. **Recreate the distance**: Place the pointed end of the compass on point Q, and draw an arc that intersects the new horizontal line, creating a point P.
4. **Copy the angle's other side**: Measure the distance from point B to point C (the other side of the original angle) using the compass.
5. **Recreate the distance again**: Place the compass point on point P, and draw a small arc that intersects with the previous arc drawn from Q.
6. **Complete the angle**: Draw a line from point Q through the intersection point to form the new angle ∠QPR equal to ∠BAC.
From the given options, the step most closely reflecting these ideas is:
**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.**
This choice correctly articulates measuring angle dimensions and recreating them at a new location.
1. **Copy the angle's vertex and one side**: Start by marking the vertex point Q (to be your new vertex) on the horizontal line.
2. **Using a compass**: Measure the distance from point A to B (which represents one side of your angle).
3. **Recreate the distance**: Place the pointed end of the compass on point Q, and draw an arc that intersects the new horizontal line, creating a point P.
4. **Copy the angle's other side**: Measure the distance from point B to point C (the other side of the original angle) using the compass.
5. **Recreate the distance again**: Place the compass point on point P, and draw a small arc that intersects with the previous arc drawn from Q.
6. **Complete the angle**: Draw a line from point Q through the intersection point to form the new angle ∠QPR equal to ∠BAC.
From the given options, the step most closely reflecting these ideas is:
**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.**
This choice correctly articulates measuring angle dimensions and recreating them at a new location.