Length of DF is 24cm.
<h3>Define similarity.</h3>
If one figure may be produced from the other by a single transformation, or by a series of transformations, such as translations, reflections, rotations, and/or dilations, then and only then are two figures said to be similar. When there is a similarity transformation, the transformed image has the same shape as the original. There will always be similar varieties of triangles, quadrilaterals, and polygons. For instance, squares and equilateral triangles are both similar shapes. We know the lengths of comparable sides are proportional if two polygons resemble one another.
Given,
Two triangles are similar,
DF = AC (3)
DF = 8(3)
DF = 24
Length of DF is 24cm.
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