Triangles are congruent because all the corresponding sides and interior angles are congruent. Step-by-step explanation: In ΔWXY and ΔBCD Given Sides are congruent:
Also, Angles are congruent i,e:
By congruence statement: If two sides in one triangle are congruent to two sides of a second triangle, and also if the included angles are congruent, then those triangles are congruent.
Therefore, we can say the two triangles WXY and BCD are congruent because every corresponding side are of equal length and every corresponding angle has the same measure.