In the figure below, AB = AD, CB = CD. Can you identify any pair of congruent triangles? Class 7
medium
R
RBSEGuide
Expert Answer
In the figure below, AB = AD, CB = CD. Can you identify any pair of congruent triangles? Class 7
Question 1.
In the figure below, AB = AD, CB = CD. Can you identify any pair of congruent triangles? If yes, explain why they are congruent.
Does AC divide ∠BAD and ∠BCD into two equal parts? Give reasons. Class 7

Solution:
Yes; ∆ABC ≅ ∆ADC.
Three sides of the triangle are equal to three corresponding sides of the other triangles.
Yes. Because it divides it into two congruent triangles ABC and ADC.
Question 2.
In the figure below, are ∆DFE and ∆GED congruent to each other? It is given that DF = DG and FE = GE.

Solution:
No. But ∆DFE ≅ ∆GED