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
.
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 .
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?
(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
.
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 .
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Answers
Answered by
GPT-4o mini
To make a copy of ∠BAC using a compass and straightedge, the correct construction steps would typically involve the following:
1. **Construct an angle on a new point**: Place point Q (the vertex of the new angle).
2. **Using a compass**, measure the distance from point A to point B (this represents the length of side AB).
3. **With the compass still set to that length**, place the compass point on Q and draw an arc that crosses the ray going in the direction of the new angle.
4. **Using a compass again**, measure the distance from point B to C (the length of side AC).
5. **Keeping the compass at the same width**, place the pointed end on the intersection of the arc made from point Q and draw another arc to intersect with the previous arc.
6. **Mark the intersections** and create lines from point Q to the intersections to form ∠QPR, which will be a copy of ∠BAC.
The correct response based on the steps outlined would be something like:
"Using a compass, measure the distance from point A 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."
Make sure to follow the construction sequence accurately to create a precise angle copy.
1. **Construct an angle on a new point**: Place point Q (the vertex of the new angle).
2. **Using a compass**, measure the distance from point A to point B (this represents the length of side AB).
3. **With the compass still set to that length**, place the compass point on Q and draw an arc that crosses the ray going in the direction of the new angle.
4. **Using a compass again**, measure the distance from point B to C (the length of side AC).
5. **Keeping the compass at the same width**, place the pointed end on the intersection of the arc made from point Q and draw another arc to intersect with the previous arc.
6. **Mark the intersections** and create lines from point Q to the intersections to form ∠QPR, which will be a copy of ∠BAC.
The correct response based on the steps outlined would be something like:
"Using a compass, measure the distance from point A 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."
Make sure to follow the construction sequence accurately to create a precise angle copy.
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