Use the image to answer the 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 .

Answer 1

To make a copy of ∠BAC using a compass and straightedge, follow these steps:

1. Using a Compass, Measure the Length From Point B to Point C: Place the compass point on B and set the width to point C. This sets the radius for the next step.

2. Draw an Arc from Point Q: Place the pointed end of the compass on point Q (the vertex where you want to copy the angle) and draw an arc that intersects with the line where you want to place the new angle. Let’s denote this intersection point as point P.

3. Mark the Intersection: Mark the point where the arc intersects your designated line from point Q; this is point P.

4. Draw Two Arcs to Find the Angle: Without changing the compass width, place the compass point back on C and draw another arc that intersects the arc drawn in the previous step. This should create two intersection points which indicate the angle's measurements.

5. Create the Angle: Draw lines from Q to both intersection points created by the arcs to complete the construction of ∠Q.

By ensuring the arcs are equal in radius, you will have accurately copied ∠BAC at point Q.