Question

which description is true about the transformation shown?
it is a dilation because the transformation is isometric.
it is a dilation because the transformation is not isometric.
it is a stretch because the transformation is isometric.
it is a stretch because the transformation is not isometric.

Explanation:

• An isometric transformation preserves distances and angles (shapes are congruent). A dilation is a non - isometric transformation (shapes are similar).
• For the first trapezoid with bases \(4\) cm and \(6\) cm and non - parallel sides \(2\) cm, and the second trapezoid with bases \(8\) cm and \(12\) cm and non - parallel sides \(4\) cm.
• The ratio of corresponding sides: \(\frac{8}{4}=\frac{12}{6}=\frac{4}{2} = 2\). It is a dilation (a type of similarity transformation which is non - isometric as the size changes while the shape remains the same). A stretch is not the correct term here as dilation is a more specific non - isometric transformation for this case.

Answer:

It is a dilation because the transformation is not isometric.