What do these two changes have in common?
butter melting on a hot day
water vapor condensing on a bathroom mirror

 - Both are caused by cooling.
 - Both are chemical changes.
 - Both are only physical changes.
 - Both are caused by heating.
Step 1: Think about each change.
Butter melting on a hot day is a change of state. So, it is a physical change. The butter changes from solid to liquid, but it is still made of the same type of matter.
Water vapor condensing on a bathroom mirror is a change of state. So, it is a physical change. The water changes state from gas in the air to liquid water on the mirror. But the water vapor and the liquid water are both made of water.
Step 2: Look at each answer choice.
Both are only physical changes.
Both changes are physical changes. No new matter is created.
Both are chemical changes.
Both changes are physical changes. They are not chemical changes.
Both are caused by heating.
Butter melting on a hot day is caused by heating. But water vapor condensing is not.
Both are caused by cooling.
Water vapor condensing is caused by cooling. But butter melting on a hot day is not.