Match the following statements to the reasons listed.

note: in a traditional proof format, the statements would be on the left side of the proof.

given:
rm = sn
tm = tn
prove:
rn = sm

1. rm = sn, tm = tn addition property of equality
2. ∠t = ∠t reflexive
3. rm + tm = sn + tn substitution
4. rm + tm = rt, sn + tn = st betweeness
5. rt = st cpcte
6. triangle rtn congruent to triangle stm given
7. rn = sm sas

We have to match the following statements to the given proof.

S.No.            Proof                                                     Statement

 1                 RM=SN                                                    Given

                    TM=TN

  2                ∠T=∠T                                                    Reflexive

  3                 RM+TM=SN+TN                            Addition property

                                                                                    of equality

                                                                                     ( by using 1)

   4                 RM+TM=RT,                                    Betweeness

                       SN+TN=ST                

   5                  RT=ST                                        Substitution( since using                                              

                                                                            equation 3 and 4)  

    6              ΔRTN≅ΔSTM                               SAS ( since two sides and

                                                                           corresponding angle are

                                                                             equal by 1,2 and 5)

     7                RN=SM                                    CPCTE( Corresponding parts of

                                                                         congruent triangles are equal)

the answer for this question is : 360°

step-by-step explanation:

we have been given a triangle   we need to tell which one of these is a triangle below to map onto itself.

360° rotation is the complete rotation which eventually leads to the same figure which is given.

the correct will be, that is 360° that will cause the triangle below to map onto itself.