This is first demonstrated in the first scene of the first act, wherein the major problem of the play is introduced that Katherine must have plans to marry before Bianca can even be seriously courted, and Katherine has no suitors because of her shrewish personality. During this scene, Katherine's father, Baptista, makes a fool of her in public by talking about her personal situation with Hortensio and Gremio. He then offers her to Bianca's suitors as if she were a piece of property. “You shall marry her, but until then Bianca will not be married” (3.2.23).
Both daughters' personalities, especially Katherine's jealously, are shown in the book later on, as Baptista shows concern for Bianca's education, while ignoring Katherine's needs. Finally, her father leaves Katherine behind to talk with Bianca alone. Katherine begins to realize that Bianca is her father's favorite child, and when Baptista tells Bianca she must stay up on her books and music rather than getting attached to love , she agrees with him and tells her father, "my books and instruments shall be my company, On them to look, and practice by myself " (2. 1.34).
On the negative side, Katherine is not so calm and relaxed . Her rude reaction is an attempt to disguise her embarrassment and humiliation that has came from her father's analysis. Her ego causes her to yell out at her father for his thoughtless behavior, and when Hortensio blames her negative reaction, Katherine responds in a kind manner, saying says that if she cared about his words, she would bang his head with a stool. Clearly , she states, "Iwis it is not halfway to her heart; But if it were, doubt not her care should be to comb your noddle with a three-legg'd stool And paint your face, and use you like a fool" (3.3.46). As a conclusion, by the end of the scene, Baptista is established as a thoughtless and limited father, and Bianca is known as a spoiled child who acts like an angel to get her way, while everyone else views the