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 ;)
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
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