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

Question

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## Answers ( No )

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.

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Dilation and rotationAnswer: Dilation and rotationStep-by-step 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)translationii)reflectioniii)rotationThey all create congruent images.

But a

dilationproduces 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