Question

1
select the correct answer from each drop - down menu.
study this incomplete image of a geometric construction. this image may result from the construction of
line segment bk and draw an arc centered at l intersecting the existing arc through l
arc jk and draw an arc centered at l intersecting the existing arc through l
line segment bk and draw an arc centered at l in the interior of the new angle
arc jk and draw an arc centered at l on the leg of the new angle

Explanation:

Step1: Analyze the geometric construction

The image shows a construction that is likely of an angle - congruent to another angle. When constructing an angle congruent to a given angle, we first create an arc (like arc \(JK\)) in the given angle.

Step2: Determine the next step

To complete the construction of an angle congruent to \(\angle B\) at point \(D\), after having an arc at \(L\) (corresponding to the position where we want to construct the new angle), we set the compass width to arc \(JK\) (to maintain the same radius as in the original angle's arc) and draw an arc centered at \(L\) intersecting the existing arc through \(L\).

Answer:

The first blank (the construction): an angle congruent to \(\angle B\). The second blank (the next step): arc \(JK\) and draw an arc centered at \(L\) intersecting the existing arc through \(L\)