Question

(02.05)Which sequence of transformations creates a similar, but not congruent, triangle? Rotation and translation Reflection and rotation Dilation and rotation Translation and reflection

Answer 1

Answer: Dilation and rotation

Explanation:

We know that only rigid motions are the transformation that create congruent images.

i.e. The images formed by rigid motions have same shape and size.

There are three main kinds of rigid motions:

i) translation ii) reflection iii) rotation

They all create congruent images.

But a dilation produces image with same shape as the original but with different size by using a scale factor k.

Thus dilation does not create congruent images.

Hence, the sequence of transformations creates a similar, but not congruent, triangle will be : Dilation and rotation

Answer 2

Rotation, translation, and reflection do not affect lengths or angles, so always result in congruent figures. Dilation changes lengths, so results in similar figures. Any choice that includes "dilation" is appropriate.

... Dilation and rotation