Tuesday 31 December 2013

CONGRUENCE OF SIMPLE POLYGONS A1


Prove that the following triangle is isosceles.



Solution

Given: triangle LMN with M produced to X.
Required to prove: LMN is isosceles
Proof: LX = XN (given)

<LXM = <MXN = 900 (given)

MX = XM (common line)

LXM NXM by SAS rule

ML = MN (Equal corresponding sides)


Hence LMN is isosceles (proved)

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