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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
.

1 answer

To construct a copy of angle ∠BAC, the correct steps generally involve performing the following steps:

  1. Copy the angle's vertex and one side: Start by marking the vertex point Q (to be your new vertex) on the horizontal line.

  2. Using a compass: Measure the distance from point A to B (which represents one side of your angle).

  3. Recreate the distance: Place the pointed end of the compass on point Q, and draw an arc that intersects the new horizontal line, creating a point P.

  4. Copy the angle's other side: Measure the distance from point B to point C (the other side of the original angle) using the compass.

  5. Recreate the distance again: Place the compass point on point P, and draw a small arc that intersects with the previous arc drawn from Q.

  6. Complete the angle: Draw a line from point Q through the intersection point to form the new angle ∠QPR equal to ∠BAC.

From the given options, the step most closely reflecting these ideas is:

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 choice correctly articulates measuring angle dimensions and recreating them at a new location.