In Two right angle triangles their hypotenuse AB, EF are equal and AC

1.	In Two right angle triangles their hypotenuse AB, EF are equal and AC = DE then then which of the following is not true?A) ΔABC ≅ ΔDEFB) ΔABC ≅ ΔEFD C) ΔACB ≅ ΔEDF D) Both B and C
Answer» Correct option is (A) ΔABC ≅ ΔDEF In \(\triangle ABC\;and\;\triangle EFD,\) AB = EF (Both hypotenuse are equal) \(\angle C=\angle D\) \(=90^\circ\) (Angles opposite to hypotenuse) AC = ED (Given) \(\therefore\) \(\triangle ABC\cong\triangle EFD\) (By RHS congruence criteria) Similarly we can say \(\triangle ACB \cong \triangle EDF\) (B), (C) and (D) are correct. A) ΔABC ≅ ΔDEF

In Two right angle triangles their hypotenuse AB, EF are equal and AC = DE then then which of the following is not true?A) ΔABC ≅ ΔDEFB) ΔABC ≅ ΔEFD C) ΔACB ≅ ΔEDF D) Both B and C

Answer»

Correct option is (A) ΔABC ≅ ΔDEF

In \(\triangle ABC\;and\;\triangle EFD,\)

AB = EF (Both hypotenuse are equal)

\(\angle C=\angle D\) \(=90^\circ\) (Angles opposite to hypotenuse)

AC = ED (Given)

\(\therefore\) \(\triangle ABC\cong\triangle EFD\) (By RHS congruence criteria)

Similarly we can say \(\triangle ACB \cong \triangle EDF\)

(B), (C) and (D) are correct.

A) ΔABC ≅ ΔDEF