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HELPPP PLSSS 18. A triangle has verticesA(4,3), B(6,9) and C(2, -3). The triangle is rotated 90°
counterclockwise using the origin as the center of rotation. Which statement is NOT true about the
preimage and image?
F (-3,-4) is the coordinates of A'.
G Triangle ABC and triangle A'B'C' are congruent.
H The image of vertex B will be in Quadrant III.
J (3, 2) is the coordinates of C'.
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sqdancefan

Answer:

  F and H are NOT true

Step-by-step explanation:

Rotation 90° CCW is represented by the transformation ...

  (x, y) ⇒ (-y, x)

Then the rotated coordinates are ...

  A(4, 3) ⇒ A'(-3, 4) . . . . . quadrant II

  B(6, 9) ⇒ B'(-9, 6) . . . . . quadrant II

  C(2, -3) ⇒ C'(3, 2) . . . . . quadrant I

The rotated figure will be congruent to the original, because rotation is a rigid transformation.

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Consider the answer choices:

  F: (-3, -4) is A' --- NOT true

  G: triangles are congruent --- true

  H: B is in quadrant III --- NOT true

  J: (3, 2) is the coordinates of C' --- true

Both choices F and H are NOT true.

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