#### Question

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

#### Solution

In ∆MST and ∆TBM,

side MS ≅ side TB (given)

∠MST ≅ ∠TBM (right angle)

side MT is common

∴ By Hypotenuse-side test, ∆MST ≅ ∆TBM.

∴ side ST ≅ side MB,

∠SMT ≅ ∠BTM,

∠STM ≅ ∠BMT.

Is there an error in this question or solution?

Solution N Each Pair of Triangles Given Below, Parts Shown bOne Correspondence of Vertices by Which Triangles in Each Pair Are Congruent and Remaining Congruent Parts. Concept: Congruence of Triangles.