How do you describe or specify a person with verbs? (convert verbs to adjectives)

Question

How do you describe or specify a specific target person by their current verb in action? Or perhaps more simply, how do you use a verb as an adjective?

Here are some examples:

• The man wearing a hat is handsome. (alt. The hat-wearing man is handsome.)
• Is the person singing your friend? (alt. Is the singing-person your friend?)
• The child screaming is holding candy. (alt. The screaming-child is holding candy.)

If I was to guess the grammar, perhaps:

1. 帽子【ぼうし】をかぶる男【おとこ】の人【ひと】はかっこいい。
2. 歌う【うたう】人は友達【ともだち】ですか？
3. 叫ぶ【さけぶ】子供【こども】はキャンディを持って【もって】いる。

or do I use the present continuous:

1. 帽子をかぶっている男の人はかっこいい。
2. 歌っている人は友達ですか？
3. 叫んでいる子供はキャンディを持っている。

Answer 1

1. 帽子【ぼうし】をかぶる男【おとこ】の人【ひと】はかっこいいだ。
2. 歌う【うたう】人は友達【ともだち】ですか？
3. 叫ぶ【さけぶ】子供【こども】はキャンディを持って【もって】いる。

These are not very natural. 「Plain form verb + 人」 can mean "someone who will / is going to do~~", so these examples may sound like "The man who will wear a hat..." "Is the person who will sing..." "The child who will scream..." 帽子をかぶる男の人 could also mean "A man who usually/often wears a hat."

And かっこいいだ is incorrect. You don't attach a copula だ to an i-adjective.

1. 帽子をかぶっている男の人はかっこいいだ。
2. 歌っている人は友達ですか？
3. 叫んでいる子供はキャンディを持っている。

These sentences are fine. They mean "The man who is wearing a hat..." "Is the person who is singing..." "The child who is screaming..."

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As a side note, #1 can be rephrased as 帽子をかぶった男の人は...
歌った人 and 叫んだ子供 would mean "the person who sang" and "the child who screamed", respectively. 歌っていた人 and 叫んでいた子供 would mean "the person who was singing" and "the child who was screaming".
To say "The man who wore/was wearing a hat...", you'd say 帽子をかぶっていた男の人.

For more on 「かぶっている人」「かぶった人」, 「持っている人」「持った人」, 「着ている人」「着た人」 etc., please refer to there threads:

• Use of かける (N5 question)
• "太ってる猫" vs "太った猫"
• Why does 音を表したことば use the past tense?

Answer 2

帽子をかぶる男の人はかっこいいだ means “The man who wears a hat is handsome.” You could be referring to someone who is or is not present; it’s more ambiguous. On the other hand, 帽子をかぶっている男の人はかっこいいだ means “The man who is wearing a hat is handsome,” which better implies that the subject in question is present.