Question

In pair of triangles given below, parts shown by identical marks are congruent. State the test and the one-to-one correspondence of vertices by which triangles in pair are congruent. Also state the remaining congruent parts.

Answer 1

In ∆MST and ∆TBM,

∴ side MS ≅ side TB … [Given] 

m∠MST = m∠TBM = 90° … [Given] 

hypotenuse MT ≅ hypotenuse MT 

…[Common side]

∴ ∆MST ≅ ∆TBM …[by hypotenuse-side test] 

∴ side ST ≅ side BM …[Corresponding sides of congruent triangles]

∠SMT ≅ ∠BTM …[Corresponding sides of congruent triangles]

∠STM ≅ ∠BMT …[Corresponding sides of congruent triangles]