heizen
to heat
To warm a room, building, or water using a heating system in order to reach a comfortable temperature.
Im Winter müssen wir das ganze Haus heizen.
In winter, we have to heat the whole house.

to heat / speed
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to heat
To warm a room, building, or water using a heating system in order to reach a comfortable temperature.
Im Winter müssen wir das ganze Haus heizen.
In winter, we have to heat the whole house.

The verb 'heizen' (to heat) belongs to the word family of 'die Heizung' (the heating/heating system). 'Die Heizung' is the system or device you use to heat.
Die Heizung ist kaputt, deshalb können wir nicht heizen.
The heating system is broken, so we can't heat the place.
The auxiliary verb in the perfect tense depends on the meaning. For 'erwärmen' (to warm/heat), use 'haben'; for 'schnell fahren' (to drive fast), use 'sein' because it is a movement.
Wir haben den ganzen Tag nicht geheizt.
We didn't heat the place all day.
To specify the material or energy source used for heating, use the preposition 'mit' followed by the dative.
Viele alte Häuser heizen noch mit Öl.
Many old houses still heat with oil.
The meaning 'to drive very fast' is colloquial. In formal contexts or written language, you would use 'rasen' (to race/speed) or 'schnell fahren' (to drive fast) instead.
Der Motorradfahrer ist laut hupend um die Ecke geheizt.
The motorcyclist sped around the corner, honking loudly.
to cool
'kühlen' and 'heizen' are opposites when it comes to temperature. 'Kühlen' means to make something colder or lower its temperature. 'Heizen' means to make a room, building, or water warmer. So both words are used when changing a temperature, but in opposite directions. For drinks, food, or devices, people often say 'kühlen'. For apartments, rooms, or water heated by a heating system, people say 'heizen'.

An kalten Tagen heizen die Eltern das Wohnzimmer schon am Morgen.
On cold days, the parents heat the living room early in the morning.
Im Sommer kühlen wir die Getränke im Kühlschrank.
In summer, we cool the drinks in the refrigerator.