After a reflection, segments are drawn between corresponding points on the image of a triangle and its preimage. what is the relationship between all of these segments?

a.
they are the same length.
b.
they are parallel.
c.
they are perpendicular.
d.
no universal relationship exists.

Option: B is the correct option.

       B.     They are parallel.

As we know that if any point is reflected across a line then the line joining the pre-image  and image is perpendicular to the line of reflection and so for a triangle each of the line joining the points of the pre-image and corresponding points on the image will be perpendicular to the line of reflection.

Since we know that if two or more lines are perpendicular to the same line then they are parallel to each other.

           Hence, the correct answer is:

               Option: B

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!