Noah has drawn two triangle △mno and △m'n'o' on the coordinate plane as shown below. (the image i pasted)

which statement is the best explanation of the relationship between these triangles?

a. the given triangles are similar because they can be mapped onto each other by a series of reflections, translations, and dilations.

b. the given triangles are similar because they can be mapped onto each other by a series of reflections, translations, and rotations.

c. the given triangles are not similar because they cannot be mapped onto each other by a series of reflections, translations, and dilations.

d. the given triangles are not similar because they cannot be mapped onto each other by a series of reflections, translations, and rotations.

*i think the answer is c because the dilation doesn't add right but i'm not sure

so i want to check with you guys, by the way this is geometry

ignore the college, this is high school

  choice C is correct

Step-by-step explanation:

The clockwise sequence of vertices MNO is the opposite of the counterclockwise sequence of vertices M'N'O', so it seems some sort of reflection is involved.

Length NO is 3 times length N'O', but length NM is only 7/3 times length N'M', so the figures are not similar. (The ratios of side lengths must be the same for the figures to be similar.)

___

Choice D includes only rigid transformations that would ensure congruence. Similar figures may also differ by a dilation factor, so C is the better choice.

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

4 + 5 7/9= 9 7/9

step-by-step explanation: