Answer: The answer is (A) ΔCBA similar to ΔFED, (D) ΔBAC similar to ΔEDF and (E) ΔABC similar to ΔDEF.
Step-by-step explanation: We are given a figure in which two similar triangles are shown. We are to select all the correct similarity statements that describes the relationship between the two triangles.
In ΔABC, we have
∠B is the right angle, AC is the hypotenuse and AB is the shortest side.
Similarly, ΔDEF, we have
∠E is the right angle, DF is the hypotenuse and DE is the shortest side.
Therefore, the corresponding pairs of vertices in the two triangles will be
(A and D), (B and E) and (C and F).
Hence, the correct similarity statements are
ΔCBA similar to ΔFED,
ΔBAC similar to ΔEDF
and
(E) ΔABC similar to ΔDEF.
Thus, (A), (D) and (E) are the correct options.
