Question

In each pair of triangle given below parts shown by identical marks are congruent. State the test and one to one correspondence of vertical by which triangle in each pair are congruent and remaining congruent parts​

Answer 1

Answer:

In ∆ ABC and ∆ CDA, we have

side AB ≅ side DC …. (given)

∠ ABC ≅ ∠CDA.…. (right angle)

And, side AC is common

Hence, by Hypotenuse-side test ∆ ABC ≅ ∆CDA.

Now, from corresponding parts of congruent triangles

side BC ≅ side AD,

∠BAC ≅ ∠DCA,

∠BCA ≅ ∠DAC.