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 a b c or d which one is it 100 percent correct solve it and tell me 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 a b c or d which one is it 100 percent correct solve it and tell me 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 make a copy of the angle \( \angle BAC \), you would typically use the compass-and-straightedge construction method. The goal is to replicate the angle formed by rays \( AB \) and \( AC \) at a new point \( Q \).
Among the options you provided, the correct approach would focus on constructing arcs to replicate the angle accurately. The key steps involve measuring the angle's components (the distance from the vertex \( A \) to points \( B \) and \( C \)) and using these measurements to create congruent segments from point \( Q \).
The option that closely describes this process would look like:
**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 effective because:
1. It measures the distance between the two points (to recreate the angle’s opening).
2. By placing the compass point on \( Q \) and drawing the arc, it ensures that the angle formed at \( Q \) is congruent to angle \( BAC \).
The constructed angle at \( Q \) will have the same measure as the original angle \( BAC \), making this method suitable for angle replication.
Please ensure to carefully execute each step in the drawing. Choose the option that explicitly mentions measuring from \( B \) to \( C \) and replicating that at \( Q \).
Among the options you provided, the correct approach would focus on constructing arcs to replicate the angle accurately. The key steps involve measuring the angle's components (the distance from the vertex \( A \) to points \( B \) and \( C \)) and using these measurements to create congruent segments from point \( Q \).
The option that closely describes this process would look like:
**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 effective because:
1. It measures the distance between the two points (to recreate the angle’s opening).
2. By placing the compass point on \( Q \) and drawing the arc, it ensures that the angle formed at \( Q \) is congruent to angle \( BAC \).
The constructed angle at \( Q \) will have the same measure as the original angle \( BAC \), making this method suitable for angle replication.
Please ensure to carefully execute each step in the drawing. Choose the option that explicitly mentions measuring from \( B \) to \( C \) and replicating that at \( Q \).