Which of the following statements is true about the triangles below?

ABC = ABD by SSS
ABC = ABD by ASA
ABC = ABD by SAS
ABC = ABD by AAA

Question

Which of the following statements is true about the triangles below?

ABC = ABD by SSS
ABC = ABD by ASA
ABC = ABD by SAS
ABC = ABD by AAA

anonymous · Answer

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anonymous · Answer

i would go with ABC = ABD by ASA

anonymous · Answer

well, SAS means side-angle-side
sss means side side side 
asa means angle side angle
aaa means angle angle angle
How does ABC = ABD? By two congruent sides and one angle? By three congruent sides? By the congruent angles? Or by two congruent angles and one congruent side?

anonymous · Answer

@jadeybells I have no clue, all I have is the drawing of the triangle in case if that helps and the answer choices.

anonymous · Answer

Lol okay, look at the angles of the triangle. First of all, is the triangle exactly how it shows in your lesson/test?

anonymous · Answer

Yes that is exactly how it shows.

anonymous · Answer

Okay, that'll be helpful. If you look at angle B of triangle ABD you'll see it's slightly more acute than the angle B in ABC. Meaning it can't be ABC= ABD in AAA

anonymous · Answer

so it looks like there are congruent angles on the top and bottom and there is a congruent side so: 2 congruent angles plus 1 congruent side= ASA. Do you agree @jadeybells

anonymous · Answer

it also can't be SSS because not all of the sides are congruent. ABC and ABD share two congruent sides and one congruent angle. @jojo9999

anonymous · Answer

Ruling out SSS, ASA and AAA it'd be SAS

anonymous · Answer

The reason there's only one congruent angle is because where angle A of ABC and angle A of ABD meet it counts as only one angle. 
So ABC = ABD by SAS

anonymous · Answer

I thought angle B was congruent on both sides though?

anonymous · Answer

Nope! angle B is more acute in ABD than angle B in ABC

anonymous · Answer

Ok I just assumed they were congruent and that the picture was just drawn bad

anonymous · Answer

Nope xD

anonymous · Answer

ok @AquaStone316 go with SAS, then let us know what the correct answer turns out to be:)

anonymous · Answer

@jojo9999 was right.

anonymous · Answer

Man :/ I'm not as smart as I thought. Sorry

anonymous · Answer

Its not your fault @jadeybells it was a little hard to answer because the triangles were drawn by hand.

anonymous · Answer

Kay, thanks, I guess :)