Question

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

triangleABC ≅ triangleABD by SSS
triangleABC ≅ triangleABD by ASA
triangleABC ≅ triangleABD by SAS
triangleABC ≅ triangleABD by AAA

Answer 1

triangleABC ≅ triangleABD by ASA

Explanation:

Took the test and it was correct

Answer 2

Triangle ACB and triangle ABD share one side AB. This means they have one side that is congruent; side AB

Angle ABD = Angle ABC
Angle BAC = Angle BAD

The pair of angles that are equal lie on the side AB

Hence, triangle ABC and triangle ABD are congruent by Angle-Side-Angle (ASA)

Answer: Second option