Question

Indicate the method you would use to prove the two A's. If no method applies, enter "none".

SAS
ASA
None
SSS

Answer 1

Answer: AAS, which is choice B

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Reason:

We have two congruent angle pairs

The 30 degree angles

The 70 degree angles

We also have a pair of congruent sides. These sides are not between the angles mentioned, so we don't use ASA. Instead we go for AAS. The order is important. Both congruence theorems are similar however.

Technically if you wanted, you could find the missing third angle of each triangle, which would allow you to use ASA instead of AAS. But we'll assume that we can only use the immediate information given without further computations/algebra.

Side notes:

• The reason why I know it's AAS instead of ASA is because I've seen this trick question many times before.
• The missing angle is 180-(30+70) = 180-100 = 80 degrees
• We can't use SSS because we don't have info about all three sides. The SAS rule is a similar story.

Answer 2

AAS is your answer because you have 30 and 70 degrees next to each other and they are both angels and then 10 which is a side
You would use AAS because that’s the pattern or your triangle