Question

Triangle has vertices at (1,2),(4,6), and (4,2)in the coordinate plane. The triangle will be reflected over the x-axis and then rotated 180°about the origin to form . What are the vertices of ?

Answer 1

Answer: (-1, 2), (-4, 6), (-4, 2)

Step-by-step explanation:

NOTES:

reflect over x-axis changes the sign of the y-value: (x, y) → (x, -y)

rotate 180° about the origin changes the signs of both the x- and y-values:     (x, y) → (-x, -y)

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             reflected over x-axis            then rotated 180°

A: (1, 2)                (1, -2)                               (-1, 2)

B: (4, 6)               (4, -6)                               (-4, 6)

C: (4, 2)               (4, -2)                               (-4, 2)