SOLUTION: Given: ABCD is a parallelogram Prove: KM x LB = LM x KD ......... B----------- ------L-------C ........./----------- ----------- ---/ ......../----------- ----------- ---/

Question 1033455: Given: ABCD is a parallelogram Prove: KM x LB = LM x KD

......... B------------------L-------C
........./---------------------------/
......../---------------------------/
......./----------------M----------/
....../---------------------------/
.....A---------K-----------------D
The Labels are located like so, but I have no idea what the question means and how to go on and prove it
Answer by mananth(16949) (Show Source): You can put this solution on YOUR website!

triangles LMB and KMD are similar
By AAA test of similarity
Alternate angles and vertically opposite angle
Therefore
KM/LM = KD/LB
Therefore KM * LB = LM * KD

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