Parallelogram LMNO is similar to parallelogram WXYZ due to corresponding sides.
What is Parallelogram?
A parallelogram defined as a special type of quadrilateral which has both pairs of opposite sides parallel and equal.
Given parallelogram WXYZ,
Two parallelogram are similar if they meet of the following criteria. : Two pairs of corresponding angles are equal. : pairs of corresponding sides are proportional. : Two pairs of corresponding sides are proportional and the corresponding angles between them are equal.
According to figure,
parallelogram LMNO's sides are exactly half the length of WXYZ's sides
∴ WX/LM = WZ/LO = 2
Both parallelograms are similar because pairs of corresponding sides are same ratio.
Hence, parallelogram LMNO is similar to parallelogram WXYZ.
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