to roof / cover
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to roof
To provide something with a roof in order to protect it from the weather.
Wir wollen die Terrasse überdachen, damit wir auch bei Regen draußen sitzen können.
We want to roof the terrace so that we can sit outside even when it rains.
'Überdachen' (to roof / cover) is an inseparable verb. The prefix 'über-' always remains attached to the verb, even in main clauses and in the past participle. The stress is on the second syllable: über-DA-chen.
Die Stadt überdacht den Marktplatz.
The city is roofing over the market square.
The verb is made up of 'über' (over) and 'Dach' (roof). The literal meaning, to provide something with a roof, also helps you understand the figurative meaning: an organization serving as a 'Dach' (roof / umbrella) for others.
Ein großes Glasdach überdacht den Innenhof des Museums.
A large glass roof covers the museum courtyard.
You can recognize the figurative meaning from the object of the sentence. If it refers to organizations, associations, or initiatives, the function as an umbrella organization is meant.
Ein neuer Verband soll alle regionalen Sportvereine überdachen.
A new association is intended to umbrella all regional sports clubs.
to include / to embrace
'umfassen' and 'überdachen' can both mean that several parts fall under something shared. 'umfassen' is the normal and general word here: a course, a plan, or an offer includes several points. 'überdachen' is used in this figurative sense more when a larger organization connects several smaller groups under one common roof. The words can be confused because both express the idea of bringing things together. In everyday language, 'umfassen' is almost always more natural; 'überdachen' is especially suitable for associations, clubs, or structures.
Ein neuer Verband soll mehrere kleine Sportvereine überdachen.
A new association is intended to serve as an umbrella for several small sports clubs.
Der Plan für die Reise umfasst drei Städte und mehrere Termine.
The travel plan includes three cities and several appointments.