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Triangle BCD has vertices B(-8, 3), C(-4, 6), and D(2,0). If the triangle is reflected across the x-axis and dilated by a scale factor of 0.5 with respect to
the origin, what are the coordinates of the vertices of triangle B'C'D'?

A. B'(-4, 1.5), C'(-2,-3), D'(1, 0)
B. B'(-8, 3), C (-4,-6), D (2,0)
C. B*(-4,2), C (-2,-3), D'(1, 0)
D. B(-16, 6), C'(-8, -12), D'(4,0)

Answer :

Answer: B'(-4, 1.5), C'(-2,-3), D'(1, 0)

Step-by-step explanation:

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The coordinates of the vertices of triangle B'C'D' is B'(-4, 1.5), C(-2, 3) and D(1, 0)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Dilation is the increase or decrease in size of a figure. If a point A(x, y) is dilated by a factor k, the new point is at A'(kx, ky).

Given that Triangle BCD has vertices B(-8, 3), C(-4, 6), and D(2,0). If it is dilated by a factor of 0.5, the new point is at:

B'(-4, 1.5), C(-2, 3) and D(1, 0)

The coordinates of the vertices of triangle B'C'D' is B'(-4, 1.5), C(-2, 3) and D(1, 0)

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