question_answer 1)

Page No. 149 Which congruence criterion do you use in the following?   (a)  Given: \[\text{AC}=\text{DF}\]                          \[\text{AB}=\text{DE}\]                         \[\text{BC}=\text{EF}\]                       So,          \[\Delta ABC\cong \Delta DEF\]                    (b)   Given: ZX = RP                      RQ = ZY                    \[\angle \text{PRQ}=\angle \text{XZY}\]                  So,          \[\Delta PQR\cong \Delta XYZ\]                   (c)           Given: ZMLN=ZFGH                      \[\angle NML=\angle GFH\] \[ML=GF\]                 So,          \[\Delta LMN\cong \Delta GFH\] (d)           Given: \[\text{EB}=\text{DB}\] \[\text{AE}=\text{BC}\] \[\angle \text{A}=\angle \text{C}=\text{9}0{}^\circ \] So,          \[\Delta ABE\cong \Delta CDB\]

Answer:

                (a) SSS congruence criterion (b) SAS congruence criterion (c) SAS congruence criterion (d) RHS congruence criterion.