Question

"Based on the figure, which pair of triangles is congruent by the Side Angle Side Postulate?


A.) Triangle ABE and Triangle CBE
B.) Triangle AEB and Triangle CED
C.) Triangle BEC and Triangle DEC
D.) Triangle ABC and Triangle DCE"

Answer 1

According to the figure, the two lenghts AE and EC are congruents, and so are AE and ED.Besides the two lines AB and DC are parallels, consequently angle A and C are congruent (interior Alternate angles). All this statements tell that triangle ABE and Triangle DEC congruent by the Side Angle Side Postulate, so the true answer is B.) Triangle AEB and Triangle CED

Answer 2

Answer: Triangle AEB and Triangle CED