Question
Use the image to answer the question.
An illustration shows angle Q A L. Ray A B P Q and ray A C L extend from vertex A. An arc intersects both rays, connecting B and C. Another arc intersects Q.
What is the construction that needs to be done to make a copy of ∠BAC
?
(1 point)
Responses which is the true correct statement and why
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
.
Using a compass, measure the length from point upper A 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 .
Skip to navigation
An illustration shows angle Q A L. Ray A B P Q and ray A C L extend from vertex A. An arc intersects both rays, connecting B and C. Another arc intersects Q.
What is the construction that needs to be done to make a copy of ∠BAC
?
(1 point)
Responses which is the true correct statement and why
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
.
Using a compass, measure the length from point upper A 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 .
Skip to navigation
Answers
GPT-4o mini
To copy angle ∠BAC, the correct construction 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 option is correct because it involves measuring the length of the angle's arms (from B to C) and replicating that exact measurement centered at the new vertex point Q. This process maintains the angle's size and shape, which is essential when copying angles. The other options contain variations of incorrect steps or unnecessary details.
**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 option is correct because it involves measuring the length of the angle's arms (from B to C) and replicating that exact measurement centered at the new vertex point Q. This process maintains the angle's size and shape, which is essential when copying angles. The other options contain variations of incorrect steps or unnecessary details.