The correct congruence statement would be:
Zac is congruent with PA.
Zac is congruent with PA.
1. X ≅ L
2. P ≅ M
3. A ≅ K
4. PA ≅ MO
5. Zac ≅ KL
6. XP ≅ LM
Using this information, we need to find the correct congruence statement. Let's compare the given statements.
Comparing statement 1 (X ≅ L) with statement 6 (XP ≅ LM), we see that both include X and L. This suggests that we could combine these statements to form a new congruence statement.
Using the transitive property of congruence (which states that if a = b and b = c, then a = c), we can combine statements 1 and 6 as follows:
X ≅ L
XP ≅ LM
Applying the transitive property, we can conclude that X ≅ L ≅ XP ≅ LM. Therefore, the correct congruence statement is:
X ≅ L ≅ XP ≅ LM
Given:
- X ≅ L
- p ≅ M
- A ≅ K
- PA ≅ Mo
- Zac ≅ KL
- XP ≅ LM
From the given information, we can see that:
- X and L are congruent, so we can write X ≅ L.
- p and M are congruent, so we can write p ≅ M.
- A and K are congruent, so we can write A ≅ K.
- PA and Mo are congruent, so we can write PA ≅ Mo.
- Zac and KL are congruent, so we can write Zac ≅ KL.
- XP and LM are congruent, so we can write XP ≅ LM.
Based on the above congruences, we can combine them to form a congruence statement. Let's see the options:
Option 1: XP ≅ MK
- This option does not follow from the given congruences because there is no given information that connects X to M or p to K.
Option 2: Zac ≅ PA
- This option does not follow from the given congruences because Zac is congruent to KL, not PA.
Option 3: Zac ≅ ML
- This option does not follow from the given congruences because Zac is congruent to KL, not ML.
Option 4: KL ≅ XP
- This option follows from the given congruences because Zac ≅ KL and XP ≅ LM. Therefore, Zac ≅ KL ≅ XP ≅ LM, so the correct congruence statement is KL ≅ XP.
Thus, the correct congruence statement is KL ≅ XP, which corresponds to Option 4.