Question

Based on the construction marks, which statement is NOT true?

answers

KO = OL
KO = 1/2KL
OL = 2KL
KO +OL = KL

Answer 1

To determine which statement is NOT true based on the construction marks, we need to analyze each statement in relation to the others, particularly focusing on the relationships between the segments KO, OL, and KL.

1. **KO = OL**: This statement implies that segments KO and OL are equal in length.

2. **KO = 1/2 KL**: This indicates that segment KO is half the length of segment KL.

3. **OL = 2KL**: This suggests that segment OL is twice the length of segment KL.

4. **KO + OL = KL**: This states that the length of KO plus the length of OL equals the length of KL.

Now, let’s explore these relationships:

- If **KO = OL**, then substituting this into **KO + OL = KL**, we get **KO + KO = KL**, or **2KO = KL**. This means **KO = 1/2 KL**, which is consistent.

- If **OL = 2KL**, substituting this into **KO + OL = KL** leads to inconsistency. In fact, if **OL = 2KL**, then the equation would become **KO + 2KL = KL**, or **KO = KL - 2KL**, simplifying to **KO = -KL**, which is not possible since lengths cannot be negative.

Given this analysis, the statement that is NOT true is:

**OL = 2KL**