What single transformation maps ∆ABC onto ∆A'B'C'?
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Answer-
The triangle is rotated 90° counterclockwise about the origin.
Solution-
Coordinates of the vertices of the triangle ABC are,
A = (-3, 1)
B = (-1, 2)
C = (-2, 1)
Coordinates of the vertices of the triangle A'B'C' are,
A' = (-1, -3)
B' = (-2, -1)
C' = (-1, -2)
While rotating a point (x, y) 90° counterclockwise, it becomes (-y, x)
i.e (x, y) → (-y, x)
So, the triangle is rotated 90° counterclockwise about the origin.
Answer:
The triangle is rotated 90° counterclockwise about the origin.
Step-by-step explanation: