Congruence
The diagram shows one symmetric figure where the axis of symmetry is the (imaginary) line CJ.
Congruence of angles and sides can be directly stated by comparing the triangles that have the same mark ticks.
* For example, triangle DJB is isosceles and its base is DB. This means angles BDJ and DBJ are congruent, but not necessarily BDJ is congruent with DJB. Since DJB and HJG are vertical angles (congruent), then the first statement is not true.
* Triangles DBJ and GHJ are congruent, thus angles BDJ and JGH are congruent. The second statement is true
* Segments AB and FG have the same measure because of the symmetry we have mentioned above. Thus they are congruent. This statement is true.
* The mark ticks on side DG are not present on side FG. This means they are not necessarily congruent. This statement is not true.
The image below shows the choices to select:
