What is the construction that needs to be done to make a copy of ∠BAC ?
Options
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 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 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 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.
The correct option is: 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.
The correct construction to make a copy of ∠BAC is:
Using a compass, measure the distance from point A to point C. Then, make another arc by placing the pointed end of the compass on point Q and drawing a small arc that intersects with the larger arc above point P.
To make a copy of angle ∠BAC, the construction that needs to be done is:
Option 1: Using a straight edge, construct a horizontal line from point P that intersects with the arc to find the middle of the angle.
Explanation:
1. Start by drawing a line segment. Let's name the endpoints of this line segment as points A and B. This line segment represents one side of the angle ∠BAC.
2. Place the compass at point A and draw an arc that intersects the line segment AB. Let's name this intersection point as P.
3. Using a straight edge or ruler, draw a horizontal line passing through point P. This line will act as a reference line to find the middle of the angle.
4. With the compass, place the pointed end at point P and draw an arc that intersects the reference line above point P.
5. Now, using a straight edge, draw a line connecting points A and the intersection point on the reference line. This line represents the second side of the copied angle.
6. Finally, place the pointed end of the compass at point A and draw an arc that intersects the line segment you just drew. The intersection of this arc with the line segment represents point C, completing the copied angle ∠BAC.
In summary, the correct construction is Option 1: Using a straight edge, construct a horizontal line from point P that intersects with the arc to find the middle of the angle.