<h3>
Answer: Choice B) ASA</h3>
=============================================================
Explanation:
For statement 1, we'll have angle O congruent to angle M. This is visually given by the angle arcs that are the same.
For statement 2, we'll have segment OL congruent to segment LM. This is also given because of the tickmarks on the segments to show they are the same length.
In statement 3, angle KLO is congruent to angle MLN. The reason for this is they are vertical angles. So if your teacher was asking about what goes for reason 3, then you would be correct in selecting choice A.
The actual answer is choice B) ASA because we have two pairs of congruent angles (refer to statements 1 and 3 mentioned earlier); between those angles for each triangle we have a pair of congruent segments (refer to statement 2). So that's why we go for ASA. As you can probably guess, "A" stands for "angle" and "S" stands for "side". The order matters. The side must be between the angles in question. This means AAS is slightly different than ASA.
Side note: The reflexive property is the idea that any segment or angle is congruent to itself. It's not used at all here, but it's useful in other situations.
Another side note: CPCTC stands for "corresponding parts of congruent triangles are congruent". It basically means that if two triangles are congruent, then the pieces that match up together are congruent as well.
