Final answer:
To conclude if AB and CD are congruent, specific measurements or relationships need to be provided. In the case of the provided equations, it's possible to conclude equality under certain conditions, such as not multiplying or dividing by zero.
Step-by-step explanation:
The original question seems to be about determining whether the segments AB and CD are congruent. In geometry, when we say that two segments are congruent, it means they have the same length. Without specific lengths or relationships provided for AB and CD, it is not possible to conclude congruency.
The additional information provided (1-5) discusses basic logical and mathematical principles but does not directly pertain to the question about the segments AB and CD. However, examining statement 70, we can explore the idea of congruency under different conditions.
- (a) If A × F = B × F, we cannot conclude A = B unless we are certain F is not zero. Multiplying by zero would make A × F and B × F both zero, regardless of the values of A and B.
- (b) A ÷ F = B ÷ F implies A = B if F is not zero, as dividing by the same nonzero number does not affect the equality.
- (c) If F× A = F× B, we may conclude A = B if F is not zero, as multiplying both sides by the same nonzero number preserves the equality.