Question

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Write your own definition for similarity that does not allow congruent figures to also be called similar.

How does this definition for similarity relate to rigid transformations, dilations, and scale factors?

a. Explain whether rigid transformations would be considered similarity transformations.

b. Explain what dilations and scale factors would be considered similarity transformations.

Answer 1

Answer:

Figures with the same shape, but not necessarily the same size, are said to be "similar". ... While these dog figures are not congruent, they are similar. Polygons are similar if their corresponding angles are congruent (equal in measure) and the ratios of their corresponding sides are proportional.

Answer 2

Two items are similar on the off chance that they have a similar shape, or one has a similar shape as the perfect representation of the other.

• All the more exactly, one can be acquired from the other by consistently scaling, potentially with extra interpretation, pivot, and reflection.
• A rigid transformation brings about a picture that is congruent to the pre-picture. A similarity transformation brings about a picture that is a similar shape as the pre-picture, yet may not be a similar size - as such, the picture is similar to the pre-picture.
• A similarity transformation is one or more rigid transformations (reflection, rotation, translation) followed by a dilation.
• For two figures to be similar, they should have congruent (equivalent) comparing point measures and relative sides. Enlargements make similar figures on the grounds that increasing by the scale factor makes relative sides while leaving the point measure and the shape something similar.