Frost Nova the Rogue on engage and keep distance - if you get pinned in melee range this matchup swings hard against you.
Similar kite-vs-melee dynamic - Psychic Scream the Rogue if he closes distance to buy time to reset range.
Both sides want to kite and poke from range - whoever lands the first CC on the enemy Mage usually forces the opening.
Kite both melee around pillars; Earth Shock their healer's bigger casts to slow down their sustain.