Objective-C check if subviews of rotated UIViews intersect?

I don't know where to start with this one. Obviously CGRectIntersectsRect will not work in this case, and you'll see why.

I have a subclass of UIView that has a UIImageView inside it that is placed in the exact center of the UIView:

I then rotate the custom UIView to maintain the frame of the inner UIImageView while still being able to perform a CGAffineRotation. The resulting frame looks something like this:

I need to prevent users from making these UIImageViews intersect, but I have no idea how to check intersection between the two UIImageViews, since not only do their frames not apply to the parent UIView, but also, they are rotated without it affecting their frames.

The only results from my attempts have been unsuccessful.

Any ideas?