Question 4 - Figure it out - Page 8, 9 - Chapter 1 Class 7 - Geometric Twins (Ganita Prakash II)

Transcript

Question 4 In the figure below, are ΔDFE and ΔGED congruent to each other? It is given that DF = DG and FE = GE.Let’s find which triangles are congruent to one another We can see that in ∆ DEF & ∆ DEG DF = DG EF = EG Side DE is common, DE = DE Thus, all 3 sides are equal in both triangles. So, triangles are congruent by SSS (Side-Side-Side) Congruence Rule Finding which points match Since ∆ DGE when flipped superimposes ∆ DFE Points which match are D ⟷ D F ⟷ G E ⟷ E So, we can write By SSS Congruence rule ∆ DFE ≅ ∆ DGE But, we are asked if ΔDFE and ΔGED congruent to each other So, they are not congruent as the naming of second triangle is in wrong order