Question

Triangle ABC is isosceles with AB=AC. State if Triangle ABC is congruent to Triangle ACB. If yes, state three relations that you have used to arrive at your answer. ( Pls dont consider the blue mark on the triangle)​

Answer 1

Answer:

GIVEN-AB=AC

TO PROVE- ΔABC≅ΔACB

PROOF: AB=AC

             ⇒∠B=∠C (ANGLES OPP TO EQUAL SIDES ARE EQUAL)

        IN ΔABC AND ΔACB

               ∠A=∠A (COMMON)

                ∠B=∠C (PROVED ABOVE)

               AB=AC (GIVEN)

              ΔABC≅ΔACB ( ASA CONGRUENCY)

Step-by-step explanation:

Answer 2

Answer:

GIVEN-AB=AC

TO PROVE- ΔABC≅ΔACB

PROOF: AB=AC

            ⇒∠B=∠C (ANGLES OPP TO EQUAL SIDES ARE EQUAL)

       IN ΔABC AND ΔACB

              ∠A=∠A (COMMON)

               ∠B=∠C (PROVED ABOVE)

              AB=AC (GIVEN)

             ΔABC≅ΔACB ( ASA CONGRUENCY)