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Questions & Answers about Çocuk resim çiziyor.
Where is the personal subject suffix on çiziyor?
The subject is çocuk (the child), which is third-person singular (he/she/it). In Turkish, the third-person singular doesn't take an extra personal suffix. You just add the present continuous ending -iyor to the verb root çiz- and you are done!
Why is the vowel before -yor an i?
The ending for the present continuous tense changes to match the vowel in the verb root. The verb root for 'to draw' is çiz-. Because its vowel is i, the 4-way vowel harmony rules dictate that we use i before -yor, making the full suffix -iyor.
The English translation says 'a picture', but I don't see the word bir (a/an). Is it missing?
It is not missing! In Turkish, when a noun is a general object sitting directly in front of the verb (like 'picture' in 'drawing a picture'), you can often leave out bir. The phrase resim çiziyor acts almost like one concept: picture-drawing.
Why is it resim without a specific object ending?
Because the child is drawing a general picture, not 'the' picture. When an object is indefinite, it stays in its bare dictionary form. If the child were drawing a specific picture, you would add the specific object ending (the accusative case) and say resmi çiziyor.