SOLUTION: Hello, My question is about congruent triangles. I don't know if it is possible to post pictures here so am posting a link to the image. Would greatly appreciate your help ht

Algebra ->  Triangles -> SOLUTION: Hello, My question is about congruent triangles. I don't know if it is possible to post pictures here so am posting a link to the image. Would greatly appreciate your help ht      Log On


   



Question 1185947: Hello,
My question is about congruent triangles.
I don't know if it is possible to post pictures here so am posting a link to the image. Would greatly appreciate your help
https://imagizer.imageshack.com/img922/3730/cSJmJo.jpg

Found 2 solutions by ankor@dixie-net.com, math_helper:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
I think it is B, the given angle x is opposite the || side and the others, where the angle is given, x is adjacent to the || side

Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!

I think all the triangles are congruent. Here's the chain of reasoning:
A ≅ E by ASA (thus corresponding hypotenuses and corresponding vertical legs are equal length)
E ≅ C by HL
C ≅ D by SSS
D ≅ B by SSS

Thus A ≅ E ≅ C ≅ D ≅ B, unless I missed something.
To the other tutor, I think the x on B just implies the triangles are 90-45-45.
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C ≅ D: Look at C, it is congruent to A (because C ≅ E, and E ≅ A, we can directly write C ≅ A), thus the vertical leg of C can be drawn with a single tick mark. Now C and D can be seen to have all three corresponding sides of equal length.