Answer:
Step-by-step explanation:
(A) From the given figure, ∠BAC=∠CDE and ∠ACB=∠DCE=90°.
Thus, from ΔABC and ΔDEF, we have
∠BAC=∠CDE (Given)
∠ACB=∠DCE=90°
Thus, by AA similarity rule,
ΔABC is similar to ΔDEF.
Therefore, this option is correct.
(B) From the given figure, ∠ABC=∠DCE and ∠ACB=∠DEC
But, there is no angle and side is similar to the other angle or side of the triangle. Thus, this option is not correct.
(C) From the given figure, ∠ABC=∠ACB and ∠DCE=∠DEC
But, there is no angle or side is similar to the other angle or side of the triangle. Thus, this option is not correct.
(D) From the given figure, ∠BAC=∠CDE
But, there is no another angle or side is similar to the other angle or side of the triangle. Thus, this option is not correct.
