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https://i.gyazo.com/e5b73d42c6ea089292aa82b66fda6b57.png

https://i.gyazo.com/66582f7f707a95504ef2a57744299a4f.png

https://i.gyazo.com/3df06c36db41cd51c1472ea073036923.png

 

i honestly am really lost. please help. thank you ;)

 Jun 4, 2019
 #1
avatar+8215 
+2

1 and 2)

 

m∠KJL  =  m∠DJC  because they are vertical angles

m∠JKL  =  m∠JDC  because they are alternate interior angles

 

So by AA similarity, △JKL is similar to △JDC

 

The option you have selected is correct smiley

 Jun 4, 2019
 #2
avatar+8215 
+2

3)

m∠FGE  =  m∠CGD  because they are vertical angles.

 

\(\frac{\overline{\text{GF}}}{\overline{\text{GE}}}\ \stackrel{?}{=}\ \frac{\overline{\text{GC}}}{\overline{\text{GD}}} \\~\\ \frac{540}{513}\ \stackrel{?}{=}\ \frac{220}{209}\\~\\ \frac{20}{19}\ \stackrel{?}{=}\ \frac{20}{19}\\~\\ \frac{20}{19}\ =\ \frac{20}{19}\)

 

And   \(\frac{\overline{\text{GF}}}{\overline{\text{GE}}}\ =\ \frac{\overline{\text{GC}}}{\overline{\text{GD}}}\)

 

So by SAS similarity,  △GFE  is similar to  △GCD

 Jun 4, 2019

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