question_answer 1)

You want to show that \[\Delta ART\cong \Delta PEN,\] (a) If you have to use SSS criterion, then you need to show (i) AR =                 (ii) RT =                 (iii) AT= (b) If it is given that \[\angle T=\angle N\] and you are to use SAS criterion, you need to have (i) RT =         and                 (ii) PN = (c) If it is given that \[\text{AT}=\text{PN}\] and you are to use ASA criterion, you need to have (i) ?                                        (ii) ?

Answer:

                (a) (i) \[\text{AR}=\underline{\text{PE}}\]           (ii) \[\text{RT}=\underline{\text{EN}}\]    (iii) \[AT=\underline{PN}\] (b) (i) \[\text{RT}=\underline{\text{EN}}\] and                  (ii) \[\text{PN}=\underline{\text{AT}}\] (c) (i) \[\underline{\angle \text{ATR}=\angle \text{PNE}}\] and (ii) \[\underline{\angle \text{TAR}=\angle \text{NPE}}\]