Tuesday, 31 December 2013
CONGRUENCE OF SIMPLE POLYGONS A1
Prove that the following triangle is isosceles.
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)