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1 Theorem 7.4 - PQR = WYZ (SAS congruency) THUS W = P.jpg

Theorem 7.4 - Chapter 7 Class 9 Triangles - Part 2
Theorem 7.4 - Chapter 7 Class 9 Triangles - Part 3
Theorem 7.4 - Chapter 7 Class 9 Triangles - Part 4

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Theorem 7.4 (SSS congruence rule) If three sides of a triangle are equal to the three sides of another triangle, then the two triangles are congruent) Given :- PQR & XYZ such that PQ = XY , QR = YZ , PR = XZ To Prove :- PQR XYZ Construction:- Draw XW intersecting YZ such that WYZ = PQR and WY = PQ. Also, Join WZ Proof:- In PQR and WYZ PQ = WY PQR = WYZ QR = YZ PQR WYZ Thus, W = P In XYW Since PQ = WY and PQ = XY WY = XY 1 = 2 Similarly, we can prove 3 = 4 Adding (2) and (3) we get 1 + 3 = 2 + 4 X = W X = W From (1), W = P P = X Now in PQR and XYZ PQ = XY P = X PR = XZ PQR WYZ Hence Proved.

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.