Given lm = on and lo = mn prove lmno is a parallelogram

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, .

So, by CPCT, it can be written that:

(These angles are alternate angles and hence, the sides LM and NO are parallel)

(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.

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The answers are in the screenshots below. :P

Step-by-step explanation:

Edge2020 ^_^

yes. we do proportions in probabilities.