Will mark brainliest, triangle abc has vertices at a(1, 2) b(4, 6) and c(4, 2) in the coordinate plane. the triangle will be reflected over the x-axis and then rotated 180 degrees about the origin to form abc. what are the vertices of a'b'c'?

The vertices of A'B'C are  A'(-1,2), B'(-4,6) and C'(-4,2).

Step-by-step explanation:

Triangle ABC has vertices at A(1, 2) B(4, 6) and C(4, 2).

If a figure reflected over x-axis, then

Therefore the vertices of triangle ABC after reflection over x-axis are:

Rotation 180 degrees about the origin is defined as

Therefore the vertices of triangle ABC after reflection over x-axis followed by rotated 180 degrees about the origin are:

Therefore the vertices of A'B'C are  A'(-1,2), B'(-4,6) and C'(-4,2).

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step-by-step explanation: