3. 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

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

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Answer:

ASA rule.

Step-by-step explanation:

See the diagram with the problem.

Given that Δ ABC and Δ ABD are congruent i.e. Δ ABC ≅ Δ ABD.

Now, we have to select the rule by which we can say that Δ ABC and Δ ABD are congruent.

Given in the figure that between Δ ABC and Δ ABD,

(i) ∠ CAB = ∠ BAD

(ii) AB is the common side, and  

(iii) ∠ ABC = ∠ ABD

Therefore, by Angle-Side-Angle i.e. ASA rule we can say that  Δ ABC ≅ Δ ABD.

Hence, option 2 is correct. (Answer)

Answer: B the second choice

Step-by-step explanation: