Answer: Third choice. [tex]\angle MNP[/tex]
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Explanation:
We want to find something congruent to angle ABC.
With angle ABC, we have
The order is important.
Looking at the triangle on the right, we see that
- angle A has three arc marks
- angle B has one arc mark
- angle C has two arc marks
The sequence of arc markings can be written as 3,1,2
Now focus your attention on the triangle on the left. Start with the triple arc angle, move to the single arc angle, then go to the double arc angle. You should trace out M, N then P in that exact order.
Therefore [tex]\angle ABC \cong \angle MNP[/tex]
Note how M is first, N is second, then P is third.
This lets us form these pairs of congruences
- A = M (first letters; triple arc marking)
- B = N (second letters; single arc marking)
- C = P (third letters; double arc marking)
