If X is congruent with L, P is congruent with M. A is congruent with K, PA is congruent with Mk, and AX is congruent with KL and XP is congruent with LM which option correct congruence statement
The correct congruence statement would be:
AXP is congruent to KLM.
Based on the given information, the correct congruence statement would be:
△PAM ≅ △MKL.
This statement states that triangle PAM is congruent to triangle MKL.
To determine which option is the correct congruence statement, we need to analyze the given information step by step.
The given information states:
- X is congruent with L.
- P is congruent with M.
- A is congruent with K.
- PA is congruent with Mk.
- AX is congruent with KL.
- XP is congruent with LM.
We can combine the given information to build congruence statements. Let's go through the options:
Option 1: AX is congruent with LP
Looking at the given information, we can see that AX is congruent with KL, and X is congruent with L. However, there is no given information about A being congruent with P. Therefore, option 1 is incorrect.
Option 2: AX is congruent with LP, and XP is congruent with MK
Looking at the given information, AX is congruent with KL, and X is congruent with L. Additionally, XP is congruent with LM. However, there is no given information about A being congruent with P or M being congruent with K. Therefore, option 2 is incorrect.
Option 3: AX is congruent with KL, and XP is congruent with LM
Looking at the given information, AX is congruent with KL, and XP is congruent with LM. These statements are directly supported by the given information. Therefore, option 3 is correct.
Option 4: AX is congruent with LP, and XP is congruent with MK
Looking at the given information, we can see that AX is congruent with KL, and X is congruent with L. Additionally, XP is congruent with LM. However, there is no given information about A being congruent with P or M being congruent with K. Therefore, option 4 is incorrect.
Based on the given information, the correct congruence statement is Option 3: AX is congruent with KL, and XP is congruent with LM.