Question

Based on the construction marks, what do you know about KO¯¯¯¯¯¯¯¯
and OL¯¯¯¯¯¯¯
?

(1 point)
Responses which answer is correct

KO¯¯¯¯¯¯¯¯=OL¯¯¯¯¯¯¯
Modifying above upper K upper O with bar equals Modifying above upper O upper L with bar

MN¯¯¯¯¯¯¯¯¯¯=KO¯¯¯¯¯¯¯¯+OL¯¯¯¯¯¯¯
Modifying above upper M upper N with bar equals Modifying above upper K upper O with bar plus Modifying above upper O upper L with bar

KO¯¯¯¯¯¯¯¯+OL¯¯¯¯¯¯¯=MN¯¯¯¯¯¯¯¯¯¯
Modifying above upper K upper O with bar plus Modifying above upper O upper L with bar equals Modifying above upper M upper N with bar

MO¯¯¯¯¯¯¯¯¯=KO¯¯¯¯¯¯¯¯+OL¯¯¯¯¯¯¯

Answer 1

Based on the construction marks provided (the bars over the letters), we can infer the following relationships:

1. **Equality of Constructs**:
- The notation \( \overline{KO} = \overline{OL} \) indicates that the line segment or distance represented by \( KO \) is equal to the line segment or distance represented by \( OL \).

2. **Sum of Constructs**:
- The statement \( \overline{MN} = \overline{KO} + \overline{OL} \) suggests that the length of segment \( MN \) is equal to the sum of the lengths of segments \( KO \) and \( OL \). This implies that point \( N \) is positioned at the end of segment \( OL \) when starting from point \( K \) and extending to point \( O \), then from point \( O \) to point \( L \).

3. **Equivalence in Addition**:
- The equation \( \overline{KO} + \overline{OL} = \overline{MN} \) repeats the earlier point that the combined length of \( KO \) and \( OL \) results in \( MN \), reinforcing the geometric relationship.

4. **Referring Back to Constructs**:
- The notation \( \overline{MO} = \overline{KO} + \overline{OL} \) indicates that the segment \( MO \) is also the sum of the lengths of segments \( KO \) and \( OL \). This implies that point \( O \) is again reached by combining the lengths of \( KO \) and \( OL \), hinting at a specific configuration of the points.

From these deductions, we can conclude that:
- The segments \( KO \) and \( OL \) are equal.
- The segments \( KO \) and \( OL \) can be summed to form a larger segment \( MN \) or \( MO \).

Thus, the correct response based on the construction marks is:

**KO = OL** (i.e., \( \overline{KO} = \overline{OL} \)).