Can the following triangles be proved congruent? - Geometry

tommyowens

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Jan 24, 2022
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Hello! Can someone please tell me if the following triangles in pictures/questions 1 and 2 can be proved congruent? (Sorry for the poor drawings!) If so, by which method (Side-Side-Side, Side-Angle-Side, Angle-Side-Angle, Angle-Angles-Side, or Hypotenuse-Leg)? Thank you so much!

IMG_3090.jpg
 


[imath]\;[/imath]
 
In #1, those little arrowheads are a big clue. What do they mean?
 
In triangle #1, use [imath]\mathcal{ASA}[/imath] please post which is which.
In triangle #2, use [imath]\mathcal{SSS}[/imath]. Please explain how that is the case.

[imath][/imath][imath][/imath]
 
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