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State the correspondence between the ver...

State the correspondence between the vertices, sides and angles of the following pairs of congruent triangles.
Q (i) `/_\ ABC = /_\ EFD`
(ii) `/_\ CAB = /_\ QRP`
(iii) (i) `/_\ XYZ = /_\ QPR`
(iv)(i) `/_\ MPN = /_\ SQR`

Text Solution

Verified by Experts

The correct Answer is:
(i) `A hArr E, B hArr C hArr D`;AB = EF, BC = FD, AC = ED; `/_A = /_E`, `/_B = /_F` and `/_C = /_D`
(ii)`C hArr Q, A hArr R,B hArr P`;CA = QR, AB = RP, BC = PQ: `/_C = /_Q`, `/_A = /_R` and `/_B = /_P`
(iii)`X harr Q,Z harr P,Y harr R`; XZ = QP, ZY = PR, XY = QR: `/_X = /_Q`, `/_Z = /_P` and `/_Y = /_R`
(iv)`M hArr S, P hArr Q R, N hArr R`; MP = SQ,PN = QR, MN = SR; `/_M = /_S`, `/_P = /_Q` and `/_N = /_R`
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