SSS or Side Side Side Theorem.
We have congruent triangles when corresponding sides are congruent; we call it a theorem but that's pretty much the definition of congruent triangles.
Answer:

Step-by-step explanation:

Answer:
6 cases
Step-by-step explanation:
Kendra wants a total of 160 water bottles
She already has 16 water bottles. So you can subtract 16 from 160 or
160-16 = 144
Then since there are 24 water bottles in a case, you need to divide 144 by 24 or 144÷24 = 6
Step-by-step explanation:
Given:
AD is the bisector of ∠BAC
∠CPD = ∠BPD
1) ∠CAP = ∠BAP
Reason: definition of angle bisector
2) ∠CPD = 180 − ∠APC, ∠BPD = 180 − ∠APB
Reason: definition of supplementary angles
3) 180 − ∠APC = 180 − ∠APB
Reason: substitution
4) ∠APC = ∠APB
Reason: algebra
5) AP = AP
Reason: reflexive property
6) ΔAPC ≅ ΔAPB
Reason: ASA congruence