1. **Problem statement:** Given that point C is the midpoint of segment MN, determine which of the following statements is FALSE: - CM = 2(MN) - MC = CN - MN = 2(CM) - CN = ½(MN) 2. **Recall the midpoint definition:** If C is the midpoint of segment MN, then C divides MN into two equal parts. This means: $$MC = CN = \frac{1}{2}MN$$ 3. **Analyze each statement:** - **CM = 2(MN):** Since CM is half of MN, this statement says CM is twice MN, which contradicts the midpoint property. - **MC = CN:** This is true by definition of midpoint. - **MN = 2(CM):** Since CM is half of MN, MN is twice CM, so this is true. - **CN = ½(MN):** This is true by definition of midpoint. 4. **Conclusion:** The FALSE statement is: $$CM = 2(MN)$$