To select the correct answers, let's analyze the given incomplete image and understand the construction process:
1. **Determining the geometric construction:**
A. Construction of an angle congruent to a given angle often involves duplicating an existing angle using arcs and compass settings.
B. Construction of parallel lines typically involves using a straightedge and creating alternate interior angles or corresponding angles.
C. An angle bisector construction splits an angle into two equal parts using arcs and intersecting arcs.
D. Construction of a perpendicular line typically involves creating right angles with arcs and intersecting lines.
2. **Analyzing the process for the next step:**
- In most cases, you draw an arc from a specific point and intersect another arc to continue the construction.
Given that the image provided hints arcs and intersections primarily indicative of angle constructions, it is most likely:
**First Drop-down Menu Answer:**
A. Construction of an angle congruent to a given angle.
**Analyzing the second part to determine the next step:**
- If we are constructing an angle congruent to a given angle, we usually keep the compass width the same as it was used to create an arc from the original angle vertex. Then, we'd typically use this setting to draw another arc from a corresponding point on the line set by the first arc.
**Second Drop-down Menu Answer:**
B. arc JK and draw an arc centered at L intersecting the existing arc through L.
This combination accurately reproduces the steps involved in creating an angle congruent to a given angle using the compass and arcs description.
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
1 answer