As the play progresses, petruchios insulting behaviour is compared to that of Katerina in the beginning (use examples) is this a fair comparison?

I believe this is not a fair comparison because petruchio is just aggressive in what  He says Evan if he is wrong but Katerina is a strong willed and very blunt and always sticks up for her self but I think petruchio is just an up front person who would possibly be quiet annoying and possibly get on everybody’s nerves being so aragant. But Katerina would be well respected now because how well she stands up for herself  so other women would perhaps see her as a role model.

identifying he’s behaviour is key in the understanding of the play you have got to understand his (humour) way of speech and knowing that he is a very ignorant person.

i have got a small paragraph from a website that just identifies how he is in person: Petruchio’s not a hard one to figure out – in fact, he’s pretty honest throughout the play. He’s the only guy who unabashedly admits that he loves money more than anything else.

Come, come, you wasp, i’ faith you are too angry.
KATH.
If I be waspish, best beware my sting.
PET.
My remedy is then to pluck it out.
KATH.
Ay, if the fool could find it where it lies.
PET.
Who knows not where a wasp does wear his sting?
In his tail.
KATH.
In his tongue.
PET.
Whose tongue?
KATH.
Yours, if you talk of tales, and so farewell.
PET.
What, with my tongue in your tail? Nay, come again,
Good Kate; I am a gentleman—

In this scene petruchio try’s to humiliate Katrina by calling her a wasp (but with a sting) but Katrina flips it back on to him by saying pig I’m a wasp best be aware of my sting for how much harm I can cause you.

shakespear is clever in his writing because evan in this day you have peoplpe like petrucio who just wind you up and know that they are winding you up i souppose you could say he knows what buttons t press but you also get people like katrina who know matter how hard you try they spin it off on you.

TBC

Your points are good – what you need to do now is support these with specific quotations from the play – then both analyse the differences between the quotes in terms of what the two characters say and how they say it. I look forward to reading your more developed answer.

CW