Gremio and Tranio (disguised as Lucentio) bid to marry Bianca, telling Baptista how wealthy they are. Baptista agrees to let Lucentio marry Bianca if the suitor's financial position can be verified.
Hortensio, Gremio and Tranio (disguised as Lucentio) agree to pay Petruchio if he will marry Kate, leaving the competing suitors free to pursue Bianca.
Baptista Minola determines that his daughter Bianca may only marry when her elder sister, shrewish Kate, finds a husband.
Petruchio and Katherina argue from the moment they first meet but Petruchio still insists Kate will be be his wife.
Katherina despairs at Petruchio's treatment of her, detailing many of the ways her husband has tried to break the headstrong woman and turn her into a compliant wife.
Petruchio wagers that his wife is more compliant than both Lucentio and Hortensio's. Kate delivers thy husband is thy lord monologue, exhibiting the power relationship between men and women in the play.
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