PLEASE HELP!! GEOMETRY

Explanation:

A conjecture is a guess. You cannot use guesses to justify statements in geometry, or in any logic setting. Sometimes you might hear in a court case that someone made a claim "based on speculation and conjecture" which are shaky claims at best. In other words, they made a claim that hasn't been verified.

A postulate can be used because it's a statement that doesn't need proof. It's something fairly trivial such as "two points form a line". So we can rule out choice A.

A previously proven theorem can be used as justification as well, since it was proven to be true. An example would be the pythagorean theorem. So we can rule out choice C.

Lastly, choice D can be ruled out because definitions can be used as justifications. An example of a definition is "all right angles are 90 degrees".

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.

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.