In the given pairs of triangles, measures of some parts are given. By applying RHS congruence rule, state whether the triangles are congruent or not. 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 $∆ E A B$ and $∆ B C D$ ,
$∠ A = ∠ C$ [ Each angle $90 °$ ]
$E B = B D$ [ Given ]
$A B = C D$ [ Given ]
Therefore, by RHS congruence condition $∆ E A B ≅ ∆ B C D$

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In the given pairs of triangles, measures of some parts are given. By applying RHS congruence rule, state whether the triangles are congruent or not. In case of congruent triangles, write the result in symbolic form.

Finding whether the triangles are congruent or not.In ∆EAB and ∆BCD,∠A=∠C [ Each angle 90°] EB=BD [ Given ] AB=CD [ Given ] Therefore, by RHS congruence condition ∆EAB≅∆BCD

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