What do these two changes have in common?
a sidewalk heating up in the sun
water vapor condensing on a bathroom mirror

 - Both are only physical changes.
 - Both are chemical changes.
 - Both are caused by cooling.
 - Both are caused by heating.
Step 1: Think about each change.
A sidewalk heating up in the sun is a physical change. The temperature of the sidewalk goes up, but the sidewalk 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.
A sidewalk getting warm in the sun is caused by heating. But water vapor condensing is not.
Both are caused by cooling.
Water vapor condensing is caused by cooling. But a sidewalk heating up in the sun is not.