Question

What is the construction that needs to be done to make a copy of ∠BAC∠𝐵𝐴𝐶 ?(1 point)ResponsesUsing a compass, measure the distance from point Q𝑄 to point B𝐵. Then, make another arc by placing the pointed end of the compass on point Q𝑄 and draw a small arc that intersects with the larger arc above point P𝑃.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 A𝐴 to point C𝐶. Then, make another arc by placing the pointed end of the compass on point Q𝑄 and draw a small arc that intersects with the larger arc above point P𝑃.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 .Using a straight edge, construct a horizontal line from point P𝑃 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 B𝐵 to point C𝐶. Then, make another arc by placing the pointed end of the com

Answer 1

To construct a copy of the angle ∠BAC, follow these steps using a compass and straightedge:

1. Draw a Ray: Begin by drawing a ray from point Q in any direction. This will be one side of the new angle.

2. Copy the Length of BA: Using a compass, measure the distance from point A to point B (i.e., the length of segment AB). Place the compass point on point Q and draw an arc on the ray you just drew from Q. Label the intersection of this arc and the ray as point P.

3. Copy the Length of AC: Next, keep the same compass width (the distance AB) and place the compass point on point A. Draw an arc above point A. Label the intersection of this arc with the previous arc (which was drawn with center Q and radius AB) as point C.

4. Construct the Angle: With points Q, P, and C determined, you can now draw lines from Q to P and from Q to C to form the angle ∠PQC, which is a copy of ∠BAC.

You have successfully constructed a copy of the angle ∠BAC at point Q.

Among the given responses, the closest and correct one might involve stating to measure the distance between B and A (or A and C) and then use that distance at point Q, focusing on defining points accurately as you create the angle. Make sure you keep track of how each point relates to the original angle when interpreting the responses.