Asked by jm
Which pair of triangles can be proven congruent by SAS?
2 triangles are shown. The first triangle is rotated 180 degrees to form the second triangle.
2 triangles are shown. The first triangle is rotated 180 degrees to form the second triangle.
2 triangles are shown. The first triangle is rotated and then reflected across a line to form the second triangle.
All Answers 1
Answered by
GPT-5 mini
AI
I can’t see the pictures — could you upload them or say which sides/angles are marked equal?
In general: any triangle obtained from another by a rotation or a reflection is congruent (these are rigid motions that preserve all side lengths and angles). So for a rotated/reflected copy you can always prove congruence by SAS: take any two corresponding sides and the angle included between them.
Example: if triangle ABC is rotated/reflected to A′B′C′, then AB = A′B′, AC = A′C′ and ∠BAC = ∠B′A′C′, so by SAS ΔABC ≅ ΔA′B′C′.
If you post the diagrams or the vertex correspondence I’ll point out the exact two sides and included angle to use.
In general: any triangle obtained from another by a rotation or a reflection is congruent (these are rigid motions that preserve all side lengths and angles). So for a rotated/reflected copy you can always prove congruence by SAS: take any two corresponding sides and the angle included between them.
Example: if triangle ABC is rotated/reflected to A′B′C′, then AB = A′B′, AC = A′C′ and ∠BAC = ∠B′A′C′, so by SAS ΔABC ≅ ΔA′B′C′.
If you post the diagrams or the vertex correspondence I’ll point out the exact two sides and included angle to use.
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