# a word proof

• Feb 3rd 2008, 10:45 AM
chocolatelover
a word proof
Hi everyone,

I have to come up with a proof to show that a word, written in capital letters, is unchanged when reflected in a horizontal line and a vertical line. That just means that it needs to be able to be reflected across the x and y-axis, right?

So, I need to find a word that just has I's O's and H's in it, right?

Can anyone show me how to do a proof like this?

Thank you very much
• Feb 3rd 2008, 12:34 PM
CaptainBlack
Quote:

Originally Posted by chocolatelover
Hi everyone,

I have to come up with a proof to show that a word, written in capital letters, is unchanged when reflected in a horizontal line and a vertical line. That just means that it needs to be able to be reflected across the x and y-axis, right?

So, I need to find a word that just has I's O's and H's in it, right?

Can anyone show me how to do a proof like this?

Thank you very much

RonL
• Feb 3rd 2008, 01:13 PM
CaptainBlack
Quote:

Originally Posted by chocolatelover
Hi everyone,

I have to come up with a proof to show that a word, written in capital letters, is unchanged when reflected in a horizontal line and a vertical line. That just means that it needs to be able to be reflected across the x and y-axis, right?

So, I need to find a word that just has I's O's and H's in it, right?

Can anyone show me how to do a proof like this?

Thank you very much

It is the word which is left unchanged after the two reflections, so if you had
a palindrome composed of suitable letters then you would be home and dry.

RonL
• Feb 10th 2008, 01:02 PM
chocolatelover
Thank you very much

Regards