Need a conditional to test if title of parent page matches title of child page

In my main loop, I need a conditional to test if title of parent page matches title of child page. Default might be to keep h1 tag , otherwise do not display.

Here’s the code without conditional. :

<!-- basic loop -->
<?php if (have_posts()) : while (have_posts()) : the_post() ; ?>
<h2>
    <?php $parent_title = get_the_title($post->post_parent); echo $parent_title; ?>
</h2>

<h1 style="margin-bottom:12px"><?php the_title(); ?></h1> 

<?php the_content(); ?>
<?php endwhile; endif; ?>

ex) I want h1 to show here… http://howlingwolfmedia.com/site3/my-club/facilities/

but not here: http://howlingwolfmedia.com/site3/my-club/