Question

consider the transformation shown. use the drop-down menus to complete the sentence. the transformation is because the ved. isometric nonrigid rigid image pre-image (pre - image triangle with sides 6, 8, 10 and a right angle; image triangle with sides 3, 4, 5 and a right angle)

Explanation:

Step1: Analyze side lengths ratio

Pre - image sides: 6, 8, 10. Image sides: 3, 4, 5. Check ratios: $\frac{3}{6}=\frac{1}{2}$, $\frac{4}{8}=\frac{1}{2}$, $\frac{5}{10}=\frac{1}{2}$. So it's a dilation (scale factor $\frac{1}{2}$).

Step2: Determine transformation type

Rigid transformations (translation, rotation, reflection) preserve side lengths. Non - rigid transformations (like dilation) change side lengths. Isometric is same as rigid (preserves distance). Since side lengths are scaled, it's non - rigid.

Answer:

The transformation is nonrigid because the side lengths are scaled (the pre - image sides 6, 8, 10 are scaled by a factor of $\frac{1}{2}$ to get image sides 3, 4, 5, so the transformation does not preserve side lengths, indicating a non - rigid transformation).