Через точку O{"color":"#202335","fontFamily":"stix","language":"ru"} пересечения диагоналей параллелограмма ABCD{"color":"#202335","fontFamily":"stix","language":"ru"} проведена прямая, пересекающая стороны BC{"color":"#202335","fontFamily":"stix","language":"ru"} и AD{"color":"#202335","fontFamily":"stix","language":"ru"} в точках K{"color":"#202335","fontFamily":"stix","language":"ru"} и M{"color":"#202335","fontFamily":"stix","language":"ru"} соответственно. Докажите, что отрезки BK{"color":"#202335","fontFamily":"stix","language":"ru"} и DM{"color":"#202335","fontFamily":"stix","language":"ru"} равны.