What qualifies as a sacrifice

It was narrated from ‘Uqbah bin ‘Amir Al-Juhani that the Messenger of Allah ﷺ gave him some sheep, and he distributed them among his Companions to be sacrificed. There remained an ‘Atud.* He mentioned that to the Messenger of Allah ﷺ and he said:
“You sacrifice it yourself.”

حَدَّثَنَا مُحَمَّدُ بْنُ رُمْحٍ، أَنْبَأَنَا اللَّيْثُ بْنُ سَعْدٍ، عَنْ يَزِيدَ بْنِ أَبِي حَبِيبٍ، عَنْ أَبِي الْخَيْرِ، عَنْ عُقْبَةَ بْنِ عَامِرٍ الْجُهَنِيِّ، أَنَّ رَسُولَ اللَّهِ ﷺ أَعْطَاهُ غَنَمًا فَقَسَمَهَا عَلَى أَصْحَابِهِ ضَحَايَا فَبَقِيَ عَتُودٌ فَذَكَرَهُ لِرَسُولِ اللَّهِ ﷺ فَقَالَ " ضَحِّ بِهِ أَنْتَ " .

Umm Bilal bint Hilal narrated from her father that the Messenger of Allah ﷺ said:
“It is permissible to offer a Jadha’a* among sheep as a sacrifice.”

حَدَّثَنَا عَبْدُ الرَّحْمَنِ بْنُ إِبْرَاهِيمَ الدِّمَشْقِيُّ، حَدَّثَنَا أَنَسُ بْنُ عِيَاضٍ، حَدَّثَنِي مُحَمَّدُ بْنُ أَبِي يَحْيَى، - مَوْلَى الأَسْلَمِيِّينَ - عَنْ أُمِّهِ، قَالَتْ حَدَّثَتْنِي أُمُّ بِلاَلٍ بِنْتُ هِلاَلٍ، عَنْ أَبِيهَا، أَنَّ رَسُولَ اللَّهِ ﷺ قَالَ " يَجُوزُ الْجَذَعُ مِنَ الضَّأْنِ أُضْحِيَّةً " .

It was narrated from ‘Asim bin Kulaib that his father said:
“We were with a man from among the Companions of the Messenger of Allah ﷺ who was called Mujashi’, from Banu Sulaim, and sheep became scarce. He ordered a caller to call out that the Messenger of Allah ﷺ used to say: ‘A Jadha’a suffices for whatever a two-year-old sheep suffices.’”

حَدَّثَنَا مُحَمَّدُ بْنُ يَحْيَى، حَدَّثَنَا عَبْدُ الرَّزَّاقِ، أَنْبَأَنَا الثَّوْرِيُّ، عَنْ عَاصِمِ بْنِ كُلَيْبٍ، عَنْ أَبِيهِ، قَالَ كُنَّا مَعَ رَجُلٍ مِنْ أَصْحَابِ رَسُولِ اللَّهِ ﷺ يُقَالُ لَهُ مُجَاشِعٌ مِنْ بَنِي سُلَيْمٍ فَعَزَّتِ الْغَنَمُ فَأَمَرَ مُنَادِيًا فَنَادَى أَنَّ رَسُولَ اللَّهِ ﷺ كَانَ يَقُولُ " إِنَّ الْجَذَعَ يُوفِي مِمَّا تُوفِي مِنْهُ الثَّنِيَّةُ " .