Question

Determine whether AJKL and APQR are congruent or not congruent based on the given information.

a) Congruent
b) Not Congruent

Answer 1

Without sufficient information about the value of F and ensuring it is non-zero, we cannot determine if AJKL and APQR are congruent from the given equations. Thereby, the answer is Not enough information given.

Step-by-step explanation:

To determine whether figures AJKL and APQR are congruent or not based on the given information, we must evaluate the provided expressions:

1. (a) If A × F = B × F, can we conclude A = B? No, we cannot conclude that A = B because division by zero is undefined. If F = 0, both sides of the equation are undefined, and A and B do not have to be equal.
2. (b) If A / F = B / F, can we conclude A = B? Again, if F = 0, the equation is undefined. Therefore, we cannot conclude A = B.
3. (c) If Fà = BF, can we conclude A = B? If F is not equal to zero, then we can divide both sides by F to get à = B, suggesting A = B. However, without knowing if F ≠ 0, we cannot make this conclusion definitively.

Due to the lack of information about the value of F and whether it is not zero, the answer is (D) Not enough information given to determine whether AJKL and APQR are congruent or not.