If ∆ ABC ≅ ∆ FED under the correspondence ABC ⟷ FED, write all the corresponding congruent parts of the triangles

Solution:

Given that ∆ ABC ≅ ∆ FED and ABC ⟷ FED

In a congruent triangle, all corresponding parts of a congruent triangle are equal.

Thus, we can say that corresponding sides, as well as corresponding angles of two congruent triangles, are always equal.

i.e., ∠A ⟷ ∠F, ∠B ⟷ ∠E, and ∠C ⟷ ∠D.

Also,

AB ⟷ FE, BC ⟷ ED, and AC ⟷ FD.

☛ Check: NCERT Solutions for Class 7 Maths Chapter 7

Video Solution:

If ∆ ABC ≅ ∆ FED under the correspondence ABC ⟷ FED, write all the corresponding congruent parts of the triangles

NCERT Solutions for Class 7 Maths Chapter 7 Exercise 7.1 Question 3

Summary:

If ∆ ABC ≅ ∆ FED under the correspondence ABC ⟷ FED, all the corresponding congruent parts of the triangles are corresponding congruent angles: ∠A ⟷ ∠F, ∠B ⟷ ∠E, and ∠C ⟷ ∠D and corresponding sides: AB ⟷ FE, BC ⟷ ED, and AC ⟷ FD.

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