In each of the following pairs of triangles, measures of some parts are given. By applying RHS congruence rule, state which pairs of triangles are congruent. In case of congruent triangles, write the result in symbolic form.

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Solution

Finding whether the triangles are congruent or not:
In $∆ B A C$ and $∆ C D B$ ,
$∠ A = ∠ D$ [ Each angle $90 °$ ]
$B C = C B$ [ Common Side ]
$B A = C D$ [ Given ]
Therefore, by RHS congruence condition $∆ B A C ≅ ∆ C D B$

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In each of the following pairs of triangles, measures of some parts are given. By applying RHS congruence rule, state which pairs of triangles are congruent. In case of congruent triangles, write the result in symbolic form.

Finding whether the triangles are congruent or not:In ∆BAC and ∆CDB,∠A=∠D [ Each angle 90°] BC=CB [ Common Side ] BA=CD [ Given ] Therefore, by RHS congruence condition ∆BAC≅∆CDB

Finding whether the triangles are congruent or not:
In $∆ B A C$ and $∆ C D B$ ,
$∠ A = ∠ D$ [ Each angle $90 °$ ]
$B C = C B$ [ Common Side ]
$B A = C D$ [ Given ]
Therefore, by RHS congruence condition $∆ B A C ≅ ∆ C D B$