What does the Quran say about modesty and the veil?

يَٰبَنِىٓ ءَادَمَ قَدْ أَنزَلْنَا عَلَيْكُمْ لِبَاسًۭا يُوَٰرِى سَوْءَٰتِكُمْ وَرِيشًۭا ۖ وَلِبَاسُ ٱلتَّقْوَىٰ ذَٰلِكَ خَيْرٌۭ ۚ ذَٰلِكَ مِنْ ءَايَٰتِ ٱللَّهِ لَعَلَّهُمْ يَذَّكَّرُونَ

O children of Adam, We have bestowed upon you clothing to conceal your private parts and as adornment. But the clothing of righteousness - that is best. That is from the signs of Allah that perhaps they will remember.

۞ يَٰبَنِىٓ ءَادَمَ خُذُوا۟ زِينَتَكُمْ عِندَ كُلِّ مَسْجِدٍۢ وَكُلُوا۟ وَٱشْرَبُوا۟ وَلَا تُسْرِفُوٓا۟ ۚ إِنَّهُۥ لَا يُحِبُّ ٱلْمُسْرِفِينَ

O children of Adam, take your adornment at every masjid, and eat and drink, but be not excessive. Indeed, He likes not those who commit excess.

قُلْ مَنْ حَرَّمَ زِينَةَ ٱللَّهِ ٱلَّتِىٓ أَخْرَجَ لِعِبَادِهِۦ وَٱلطَّيِّبَٰتِ مِنَ ٱلرِّزْقِ ۚ قُلْ هِىَ لِلَّذِينَ ءَامَنُوا۟ فِى ٱلْحَيَوٰةِ ٱلدُّنْيَا خَالِصَةًۭ يَوْمَ ٱلْقِيَٰمَةِ ۗ كَذَٰلِكَ نُفَصِّلُ ٱلْءَايَٰتِ لِقَوْمٍۢ يَعْلَمُونَ

Say, "Who has forbidden the adornment of Allah which He has produced for His servants and the good [lawful] things of provision?" Say, "They are for those who believe during the worldly life [but] exclusively for them on the Day of Resurrection." Thus do We detail the verses for a people who know.

وَرَٰوَدَتْهُ ٱلَّتِى هُوَ فِى بَيْتِهَا عَن نَّفْسِهِۦ وَغَلَّقَتِ ٱلْأَبْوَٰبَ وَقَالَتْ هَيْتَ لَكَ ۚ قَالَ مَعَاذَ ٱللَّهِ ۖ إِنَّهُۥ رَبِّىٓ أَحْسَنَ مَثْوَاىَ ۖ إِنَّهُۥ لَا يُفْلِحُ ٱلظَّٰلِمُونَ

And she, in whose house he was, sought to seduce him. She closed the doors and said, "Come, you." He said, "[I seek] the refuge of Allah. Indeed, he is my master, who has made good my residence. Indeed, wrongdoers will not succeed."

وَلَا تَقْرَبُوا۟ ٱلزِّنَىٰٓ ۖ إِنَّهُۥ كَانَ فَٰحِشَةًۭ وَسَآءَ سَبِيلًۭا

And do not approach unlawful sexual intercourse. Indeed, it is ever an immorality and is evil as a way.

يَٰٓأَيُّهَا ٱلَّذِينَ ءَامَنُوا۟ لَا تَدْخُلُوا۟ بُيُوتًا غَيْرَ بُيُوتِكُمْ حَتَّىٰ تَسْتَأْنِسُوا۟ وَتُسَلِّمُوا۟ عَلَىٰٓ أَهْلِهَا ۚ ذَٰلِكُمْ خَيْرٌۭ لَّكُمْ لَعَلَّكُمْ تَذَكَّرُونَ

O you who have believed, do not enter houses other than your own houses until you ascertain welcome and greet their inhabitants. That is best for you; perhaps you will be reminded.

فَإِن لَّمْ تَجِدُوا۟ فِيهَآ أَحَدًۭا فَلَا تَدْخُلُوهَا حَتَّىٰ يُؤْذَنَ لَكُمْ ۖ وَإِن قِيلَ لَكُمُ ٱرْجِعُوا۟ فَٱرْجِعُوا۟ ۖ هُوَ أَزْكَىٰ لَكُمْ ۚ وَٱللَّهُ بِمَا تَعْمَلُونَ عَلِيمٌۭ

And if you do not find anyone therein, do not enter them until permission has been given you. And if it is said to you, "Go back," then go back; it is purer for you. And Allah is Knowing of what you do.

قُل لِّلْمُؤْمِنِينَ يَغُضُّوا۟ مِنْ أَبْصَٰرِهِمْ وَيَحْفَظُوا۟ فُرُوجَهُمْ ۚ ذَٰلِكَ أَزْكَىٰ لَهُمْ ۗ إِنَّ ٱللَّهَ خَبِيرٌۢ بِمَا يَصْنَعُونَ

Tell the believing men to reduce [some] of their vision and guard their private parts. That is purer for them. Indeed, Allah is Acquainted with what they do.

وَقُل لِّلْمُؤْمِنَٰتِ يَغْضُضْنَ مِنْ أَبْصَٰرِهِنَّ وَيَحْفَظْنَ فُرُوجَهُنَّ وَلَا يُبْدِينَ زِينَتَهُنَّ إِلَّا مَا ظَهَرَ مِنْهَا ۖ وَلْيَضْرِبْنَ بِخُمُرِهِنَّ عَلَىٰ جُيُوبِهِنَّ ۖ وَلَا يُبْدِينَ زِينَتَهُنَّ إِلَّا لِبُعُولَتِهِنَّ أَوْ ءَابَآئِهِنَّ أَوْ ءَابَآءِ بُعُولَتِهِنَّ أَوْ أَبْنَآئِهِنَّ أَوْ أَبْنَآءِ بُعُولَتِهِنَّ أَوْ إِخْوَٰنِهِنَّ أَوْ بَنِىٓ إِخْوَٰنِهِنَّ أَوْ بَنِىٓ أَخَوَٰتِهِنَّ أَوْ نِسَآئِهِنَّ أَوْ مَا مَلَكَتْ أَيْمَٰنُهُنَّ أَوِ ٱلتَّٰبِعِينَ غَيْرِ أُو۟لِى ٱلْإِرْبَةِ مِنَ ٱلرِّجَالِ أَوِ ٱلطِّفْلِ ٱلَّذِينَ لَمْ يَظْهَرُوا۟ عَلَىٰ عَوْرَٰتِ ٱلنِّسَآءِ ۖ وَلَا يَضْرِبْنَ بِأَرْجُلِهِنَّ لِيُعْلَمَ مَا يُخْفِينَ مِن زِينَتِهِنَّ ۚ وَتُوبُوٓا۟ إِلَى ٱللَّهِ جَمِيعًا أَيُّهَ ٱلْمُؤْمِنُونَ لَعَلَّكُمْ تُفْلِحُونَ

And tell the believing women to reduce [some] of their vision and guard their private parts and not expose their adornment except that which [necessarily] appears thereof and to wrap [a portion of] their headcovers over their chests and not expose their adornment except to their husbands, their fathers, their husbands' fathers, their sons, their husbands' sons, their brothers, their brothers' sons, their sisters' sons, their women, that which their right hands possess, or those male attendants having no physical desire, or children who are not yet aware of the private aspects of women. And let them not stamp their feet to make known what they conceal of their adornment. And turn to Allah in repentance, all of you, O believers, that you might succeed.

وَإِذَا بَلَغَ ٱلْأَطْفَٰلُ مِنكُمُ ٱلْحُلُمَ فَلْيَسْتَـْٔذِنُوا۟ كَمَا ٱسْتَـْٔذَنَ ٱلَّذِينَ مِن قَبْلِهِمْ ۚ كَذَٰلِكَ يُبَيِّنُ ٱللَّهُ لَكُمْ ءَايَٰتِهِۦ ۗ وَٱللَّهُ عَلِيمٌ حَكِيمٌۭ

And when the children among you reach puberty, let them ask permission [at all times] as those before them have done. Thus does Allah make clear to you His verses; and Allah is Knowing and Wise.

وَٱلْقَوَٰعِدُ مِنَ ٱلنِّسَآءِ ٱلَّٰتِى لَا يَرْجُونَ نِكَاحًۭا فَلَيْسَ عَلَيْهِنَّ جُنَاحٌ أَن يَضَعْنَ ثِيَابَهُنَّ غَيْرَ مُتَبَرِّجَٰتٍۭ بِزِينَةٍۢ ۖ وَأَن يَسْتَعْفِفْنَ خَيْرٌۭ لَّهُنَّ ۗ وَٱللَّهُ سَمِيعٌ عَلِيمٌۭ

And women of post-menstrual age who have no desire for marriage - there is no blame upon them for putting aside their outer garments [but] not displaying adornment. But to modestly refrain [from that] is better for them. And Allah is Hearing and Knowing.

فَجَآءَتْهُ إِحْدَىٰهُمَا تَمْشِى عَلَى ٱسْتِحْيَآءٍۢ قَالَتْ إِنَّ أَبِى يَدْعُوكَ لِيَجْزِيَكَ أَجْرَ مَا سَقَيْتَ لَنَا ۚ فَلَمَّا جَآءَهُۥ وَقَصَّ عَلَيْهِ ٱلْقَصَصَ قَالَ لَا تَخَفْ ۖ نَجَوْتَ مِنَ ٱلْقَوْمِ ٱلظَّٰلِمِينَ

Then one of the two women came to him walking with shyness. She said, "Indeed, my father invites you that he may reward you for having watered for us." So when he came to him and related to him the story, he said, "Fear not. You have escaped from the wrongdoing people."

يَٰٓأَيُّهَا ٱلنَّبِىُّ قُل لِّأَزْوَٰجِكَ وَبَنَاتِكَ وَنِسَآءِ ٱلْمُؤْمِنِينَ يُدْنِينَ عَلَيْهِنَّ مِن جَلَٰبِيبِهِنَّ ۚ ذَٰلِكَ أَدْنَىٰٓ أَن يُعْرَفْنَ فَلَا يُؤْذَيْنَ ۗ وَكَانَ ٱللَّهُ غَفُورًۭا رَّحِيمًۭا

O Prophet, tell your wives and your daughters and the women of the believers to bring down over themselves [part] of their outer garments. That is more suitable that they will be known and not be abused. And ever is Allah Forgiving and Merciful.

وَٱلَّذِينَ هُمْ لِفُرُوجِهِمْ حَٰفِظُونَ

And those who guard their private parts