Question

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 ___________.

A. an angle congruent to a given angle
B. parallel lines
C. an angle bisector
D. a perpendicular line

The next step in this construction is to set the compass width to _______________________________.

A. line segment BK and draw an arc centered at L intersecting the existing arc through L
B. arc JK and draw an arc centered at L intersecting the existing arc through L
C. line segment BK and draw an arc centered at L in the interior of the new angle.
D. arc JK and draw an arc centered at L on the leg of the new angle

Answer 1

Explanation:

Based on the given information and the options provided, the incomplete image of the geometric construction appears to be related to the construction of an angle bisector.

To complete the construction, the next step is to set the compass width to "line segment BK" and draw an arc centered at L in the interior of the new angle.

The correct answer is:

C. line segment BK and draw an arc centered at L in the interior of the new angle.

By setting the compass width to the length of line segment BK and drawing an arc centered at L, we can create an arc that intersects the existing arc through L, helping to construct the angle bisector.

It's important to note that this answer is based on the information provided in the question and the options given. If there are additional or alternative steps to the construction, they are not included in the question.

Answer 2

This image may result from the construction of an angle bisector. Hence the correct option is c.

The next step is to set the compass width to line segment BK and draw an arc centered at L in the interior of the new angle. Hence the correct option is c.

The given geometric construction likely involves the creation of an angle bisector. In the incomplete image, we can observe a setup where an angle is formed, and a point L is introduced, suggesting the bisector construction.

The next step in this construction involves setting the compass width to line segment BK. By doing so, the intention is to draw an arc centered at L within the interior of the new angle. This step is crucial in the angle bisector construction process, as it allows for the intersection of arcs to identify the point where the bisector intersects the arms of the given angle, ultimately bisecting it into two congruent angles.

Therefore, the construction seems to focus on creating an angle bisector, and the specified compass adjustment is a key step in refining the bisector's position within the angle.