Min cykel er grøn.

Because Danish possessive words agree with the thing possessed, not with the owner.

• min = used with a common-gender singular noun
• mit = used with a neuter singular noun
• mine = used with a plural noun

Cykel is a common-gender singular noun, so it takes min:

• min cykel = my bike
• mit hus = my house
• mine cykler = my bikes

Because min already functions as the determiner.

In Danish, you normally do not use an article together with a possessive like min:

• min cykel = correct
• en min cykel = incorrect

You also would not say min cyklen in standard Danish. The possessive replaces the article marking here.

Cykel is a common-gender noun.

Danish nouns are usually divided into two grammatical genders:

• common gender
• neuter

You can tell cykel is common gender because its basic form is:

• en cykel = a bike

That is why you get:

• min cykel
• grøn when used in this sentence

Er is the present tense of at være = to be.

So Min cykel er grøn follows the same basic pattern as English My bike is green.

A useful thing to know: Danish verbs do not change for person the way English verbs sometimes do.

• jeg er = I am
• du er = you are
• han er = he is
• vi er = we are

It is always er in the present tense.

Because the adjective agrees with the noun.

Here, grøn describes cykel, which is:

• singular
• common gender

So the correct form is the basic adjective form:

• en grøn cykel
• min cykel er grøn

Compare:

• et grønt hus = a green house
• huset er grønt = the house is green
• grønne cykler = green bikes
• cyklerne er grønne = the bikes are green

Because Danish uses different adjective forms depending on how the adjective is used.

1. Predicate adjective: after a verb like er

   • Min cykel er grøn

2. Attributive adjective: directly before the noun

   • min grønne cykel

After possessives like min, adjectives before the noun usually take the -e form:

• min grønne cykel
• mit grønne hus
• mine grønne cykler

But after er, the adjective matches the gender/number more directly:

• cyklen er grøn
• huset er grønt
• cyklerne er grønne

Mostly yes, in this simple sentence.

The order is:

• Min cykel = subject
• er = verb
• grøn = complement

So it matches English quite closely: My bike is green.

But Danish has an important rule called V2 word order: the finite verb normally comes in the second position in main clauses.

So if you move something else to the front, the verb still stays second:

• I dag er min cykel grøn = Today my bike is green

Not:

• I dag min cykel er grøn = incorrect

A rough learner-friendly pronunciation is SY-g'l.

A few key points:

• c here sounds like s
• y is a Danish vowel that English does not really have
• the second syllable is light and reduced

A good trick for y:

• shape your lips as if saying oo
• but try to say ee

That gives you something close to the Danish y sound.

So cykel is not pronounced like English cycle.

The hardest part is ø.

A rough approximation is something like grurn or grern, but neither is exact.

Helpful notes:

• gr begins with a Danish r, which is usually farther back in the throat than an English r
• ø is a front rounded vowel, similar to:
  • German ö
  • French eu in deux
• n is pronounced

If you cannot say it perfectly yet, focusing on the ø sound is the most important step.

Because Danish does not capitalize ordinary nouns.

So:

• Min cykel er grøn. = correct
• Min Cykel er grøn. = incorrect

Only the first word of the sentence is capitalized here because it starts the sentence. Proper names would also be capitalized, but common nouns like cykel are not.

Yes, but it means something slightly different in form.

• Min cykel er grøn = my bike is green
• Cyklen er grøn = the bike is green

Here:

• cyklen = the bike
• the ending -en marks the definite form

So cykel and cyklen are related, but they are not interchangeable. The first sentence uses a possessive, and the second uses the definite form.