Question

If two triangles are symmetric, then they are

• A. Equilateral
• B. Congruent
• C. Equal
• D. Isosceles

Answer 1

The correct option is B Congruent

Suppose (A,A'), (B,B'), and (C,C') are symmetric with respect to a line. Then
$AB=A^{\prime }{B}^{\prime },BC=B^{\prime }{C}^{\prime },$ and $CA=C^{\prime }{A}^{\prime }$
$\therefore \Delta ABC\cong \Delta A^{\prime }{B}^{\prime }{C}^{\prime }$