Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day!
We can solve this problem in two steps, one being Rule and another being Solving. I'll start off with Rules.
Rules
To determine triangle congruency, we can first look at the triangle and see what rules we can use.
The main triangle rules are:
+ SSS (Side, Side, Side)
+ SAS (Side Angle Side)
+ ASA (Angle, Side, Angle)
+ AAS (Angle,Angle, Side)
+ RHS (Right Angle, Hypotenuse-Side, Side)
Solving
Now that we know the rules we can start solving the problem by seeing what is congruent and in what way is it congruent.
Right of the bat we see that [tex]BC=AD[/tex] and [tex]BA=CD[/tex]. We know this because the image states that they are equal with the short lines showing us that.
Since we know that they are equal, we know that the rule would have 2 sides. Another thing we see is that [tex]AC[/tex] is equal because both triangles use it as their hypotenuse, telling us that that is also equal.
Since all three sides are equal, the rule would be SSS.
As per the way we classify the triangles, it would be that triangle ABC is congruent to triangle CDA.
Therefore the answer is C.
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