Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Please help me I will try to give a lot of points

Please Help Me I Will Try To Give A Lot Of Points class=

Sagot :

Given :-

  • A figure is given to us .

To Find :-

  • To determine if [tex] \overline{KM} || \overline{JN}[/tex] .

Solution :-

Here we can use the Thales Theorem , according to which here if the ratio of JK and KL will be equal to the ratio of MN and ML then the lines KM and JN will be parallel .So ,

[tex]\longrightarrow[/tex] JK/KL = MN/ML

[tex]\longrightarrow[/tex] 22.5/25 = 18/20

[tex]\longrightarrow[/tex] 225/250 = 18/20

[tex]\longrightarrow[/tex] 9/10 = 9/10

Hence here since the ratios are equal the lines will be parallel.