Prove that AABC is congruent to ADEF with the given vertices are congruent. 1
A(3,1), B (4,5), C (2,3), D (-1,-3), E (-5,-4), F (-3,-2)
The triangles are congruent because AABC can be mapped onto ADEF by a rotation: (x, y) + (y, x), followed by a reflection:
(x, y) → (2, -y)
O
1
The triangles are congruent because AABC can be mapped onto ADEF by a reflection: (x, y) + (, y), followed by a rotation:
(x, y) → (y, -2)
2
The triangles are congruent because AABC can be mapped onto ADEF by a translation: (2,y) → (2 - 4,y), followed by another
translation: (2x, y) + (x, y - 6)
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The triangles are congruent because AABC can be mapped onto ADEF by a rotation:(z, y) (-y, 2), followed by a rotation:
(2x, y) + (x, -y)
3
4
25 1 point
The triangle below can be subject to reflection, rotations, or translations. With which of the triangles can it coincide after a series of these
transformations?
5