2014 · Q72
Consider the following: ABC and DEF are triangles in a plane such that AB is parallel to DE, BC is parallel to EF and CA is parallel to FD.
Statement IIf angle ABC is a right angle, then angle DEF is also a right angle.
Statement IITriangles of the type ABC and DEF are always congruent.
Which one of the following is correct in respect of the above statements?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- AStatement-I and Statement-II are correct and Statement-II is the correct explanation of Statement-I
- BStatement-I and Statement-II are correct and Statement-II is not the correct explanation of Statement-I
- CStatement-I is correct and Statement-II is incorrect
- DStatement-I is incorrect and Statement-II is correct
Explanation
Parallel corresponding sides make the triangles similar (so right angle is preserved), but they need not be congruent — they can differ in size.