On your form set the action to the next page that will be displayed. On the next page set conditionals that will display the things you want to be displayed based on their form inputs.
To get the value of each of the fields you will call $_POST['field_name']; if you area using php.
Example:
PHP Code:
if($_POST['animal'] == 'Dog'){
print "<img src=\"dog_box.jpg\">";
}elseif($_POST['animal'] == 'Cat'){
print "<img src=\"cat_box.jpg\">";
}