Answer:
The given figure is a parallelogram.
Step-by-step explanation:
Consider the given figure LMNO.
It is given that LM=NO and LO=MN.
Now, consider the triangles LMN and LNO,
LM=ON (Given)
MN=OL (Given)
LN=LN (Common side)
Now, using SSS congruency rule, [tex]\Delta LMN\cong \Delta NOL[/tex].
So, by CPCT, it can be written that:
[tex]\angle MLN=\angle ONL[/tex] (These angles are alternate angles and hence, the sides LM and NO are parallel)
[tex]\angle MNL=\angle OLN[/tex] (These angles are alternate angles and hence, the sides MN and LO are parallel)
From the above two conclusions, it can be said that the quadrilateral LMNO has pair of parallel sides and hence, it is a parallelogram.
For more details, refer the link:
https://brainly.com/question/20124079?referrer=searchResults
