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Triangle ABC is shown on the coordinate plane.

Triangle on coordinate plane with vertices A at 8 comma 2, B at 10 comma 6, and C at 4 comma 4.

Triangle ABC is dilated by a scale factor of one half about the origin and then reflected over the x-axis. What is the location of A″ after the sequence of transformations?

(8, −2)
(4, 1)
(4, −1)
(−4, 1)

Answer :

C. (4,-1) because delating (8,2)x1/2 would be (4,1) then using the algebraic description of the x-axis, it would be (x,y)->(x,-y) therefore it is (4,-1)
mhanifa

Answer:

  • C) (4, -1)

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Apply both rules in order.

1) Dilation by a scale factor of 0.5

  • (x, y) → (kx, ky)
  • A(8, 2) → A'(8*0.5, 2*0.5) = A'(4, 1)

2) Reflection over the x-axis

  • (x, y) → (x, - y)
  • A'(4, 1) → A''(4, -1)

Correct choice is C.

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