The dilation factor can be found by calculating the distance between the original vertex and the center of dilation, and the corresponding vertex and the center of dilation.
Original vertex: (-7, -14)
Center of dilation: (0, 0)
Distance between original vertex and center of dilation:
√((-7-0)^2 + (-14-0)^2) = √(49 + 196) = √245 ≈ 15.65
Corresponding vertex: (-1, -2)
Distance between corresponding vertex and center of dilation:
√((-1-0)^2 + (-2-0)^2) = √(1 + 4) = √5 ≈ 2.24
Dilation factor: √5 / √245 ≈ 2.24 / 15.65 ≈ 0.143
Therefore, the dilation factor is approximately 0.143.
A triangle on a coordinate plane has one verdict at (-7,-14) after a dilation with the origin as the center of dilation, the corresponding vertex of the dilated triangle is located at (-1, -2 ) which represents the dilation applied to the triangle
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