Figure mnop is reflected about the x axis to obtain figure m’n’o’p

The question above is incomplete. The options attached to the question are as follows:

A. Figure MNOP is bigger than figure M'N'O'P'.

B. The measure of angle O is equal to the measure of angle M'.

C. The measure of angle O is equal to the measure of angle P'.

D. Figure MNOP is similar to figure M'N'O'P'.

Answer

The correct statement that best describes the relationship between the two figures is: D. Figure MNOP is similar to figure M'N'O'P'.

Here, figure MNOP is just reflected about the x axis to obtain figure M’N’O’P.

So, the y-co ordinates of all the points M, N, O and P will become negative only for getting points M', N', O' and P' respectively. That means, all the side lengths and internal angles will remain same in both figures.

So, MN = M'N' , NO = N'O' , OP = O'P' and PM = P'M'

and ∠M = ∠M' , ∠N = ∠N' , ∠O = ∠O' and ∠P = ∠P'

Thus, Figure MNOP is similar to figure M'N'O'P.

i'm assuming it's looking for the missing length, which should be 4cm

hope this !

the barter