Question

Which statement best explains why the dilation of a triangle produces a similar triangle
Dilation always preserves side lengths.
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Dilation always preserves angle measures:
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Dilation always preserves the location of the center of the triangle,
Dilation always preserves the locations of the vertices of the triangle,

Answer 1

Dilation always preserves angle measures, the given statement best explains why the dilation of a triangle produces a similar triangle

Step-by-step explanation:

The dilation (similarity transformations) varies the size of the figure. This requires a midpoint and a scale factor k. The k value finds whether it is an increase or decrease.

• If | k |> 1, the dilation is an extension.
• If | k | <1 it is reduction.

The absolute value of k determines the size of the new image relative to the size of the original image. If the k is positive, the new and original image is on the same side of the center.

If k is negative, they are on both sides of the center. Its own image is always at the center of development. This support angle size, point equality, and collinearity. Does not maintain distance. In simple, dilation always give similar figures.