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3. use rigid motions to explain whether the figures are congruent. δabc is the pre-image. δa’b’c’ is the image. be sure to describe specific rigid motions in your explanation.

hint: there are two transformations represented, in a distinct order.

a specific description of the rigid motion would include the following information:

- translation: a description of vertical and horizontal change (the translation vector)

- reflection: identify the line of reflection in equation format

- rotation: identify the point of rotation, the direction, and degree of rotation.

  multiple possibilities, see below

Step-by-step explanation:

The figures are congruent. Any of the rigid motions described below will map ABC to A'B'C'.

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This question has multiple answers. The simplest is one transformation:

  rotation 180° (in either direction) about the point (1/2, 1/2)

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Equivalent to the above is two reflections (in either order):

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If you want to use rotation about another point, such as the origin, then these transformations (in order) will give the image figure:

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You could also do something a little more strange, such as (in order) ...

or

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.