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