How does similarity differ from congruence? why does the property of rigid motion not apply for all transformations?

Similarity means that two figures are the same shape, but not necessarily the same size, color or orientation, congruent means two figures are the same in every form.

Step-by-step explanation:

In my understanding, The Property of Rigid motion holds two points:

- The relative distance between two points stays the same,

- The relative position of the points stays the same

This includes, translations, reflections, and rotation but not to dilutions since it breaks these rules. The relative distance between points gets smaller after dilution.

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

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step-by-step explanation: