91影视

The two triangles are said to be congruent if they are copies of each other and if their vertices are superposed, then say that corresponding angles and the sides of the triangles are congruent.

Congruency of triangles can be proved by SSS, SAS and ASA, AAS and HL postulates.

ASA - Angle 鈥� side 鈥� angle method means if two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, then triangles are congruent.

To prove that two segments or two angles are congruent, firstly identity the two triangles in which that two segments or angles are corresponding parts. After that, prove that the identified triangles are congruent and then, state that the two parts are congruent using the reason 鈥淐orresponding parts of triangles are 鈥�.

Consider the:$螖PQR\text{and}螖\text{SRQ}$

i. It is given that, $鈭�PRQ鈮�鈭�SQR$

ii By reflexive property,$\stackrel{炉}{QR}鈮�\stackrel{炉}{RQ}$

iii Also, it is given that$鈭�PQR鈮�鈭�SRQ$ .

So, by ASA Postulate,$螖PQR鈮�螖\text{SRQ}$.

Since two triangles are congruent, therefore, it can be concluded that$\stackrel{炉}{PR}鈮�\stackrel{炉}{SQ}$ .