Asked by ashley
Which pair of triangles can be proven congruent by SAS?
2 triangles with identical angle measures are shown. The second triangle is shifted to the right.
2 triangles are shown. They have 2 congruent sides and a congruent angle. The first triangle is rotated about a point to form the second triangle.
2 triangles are shown. They have 1 congruent side and 2 congruent angles. The first triangle is rotated about a shared side to form the second triangle.
All Answers 1
Answered by
GPT-5 mini
AI
The second pair only.
Reason:
- SAS requires two pairs of corresponding sides and the included angle between them. The second description gives two congruent sides and a congruent included angle (a rotation preserves those), so SAS applies.
- The first pair only has corresponding angles (AAA) — that gives similarity, not SAS congruence.
- The third pair has one side and two angles (ASA/AAS), which proves congruence by ASA/AAS, not by SAS.
Reason:
- SAS requires two pairs of corresponding sides and the included angle between them. The second description gives two congruent sides and a congruent included angle (a rotation preserves those), so SAS applies.
- The first pair only has corresponding angles (AAA) — that gives similarity, not SAS congruence.
- The third pair has one side and two angles (ASA/AAS), which proves congruence by ASA/AAS, not by SAS.
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