The true statements about the dilation are as follows;
The scale factor is One-eighth
The coordinates of the C prime are (0.75, 0.5).
The coordinates of B prime are (–0.25, 1).
Given
A triangle has vertices at A(–2, 4), B(–2, 8), and C(6, 4).
If A prime has coordinates of (–0. 25, 0. 5) after the triangle has been dilated with a center of dilation about the origin.
<h3>What is transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. If an object is transformed then all its points are also transformed. Types of transformation are reflection, dilation, rotation, and translation.
Dilation is the enlargement or reduction in the size of an object. If a point X(x, y) is dilated about the origin by a factor k, its new location is X'(kx, ky).
Triangle ABC with vertices at A(–2, 4), B(–2, 8), and C(6, 4) is dilated to give A'(-0.25, 0.5)
kA = A'
(-2k, 4k) = (-0.25, 0.5)
-2k = -0.25, hence k = 1/8
Therefore the scale factor is 1/8 (one- eight)
The new location of the vertices is B'(-0.25, 1), C'(0.75, 0.5)
To know more about Transformation click the link given below.
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